Pith. sign in

Paper Citation Record · LEDGER

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle

As of 6 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 1 inbound Pith citation observation for arXiv:2510.00587.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2510.00587 v3

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-21T21:35:48.647825Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T06:19:08.664113Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T21:16:11.764415Z

Reference resolution

56 of 56 outbound references displayed

  • verified exact19
  • verified fuzzy20
  • unresolved16
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f7d5f55d-3ce9-45a4-a99e-cd1b58921236 · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-21T21:44:23.466142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:1b34b5bb336fc41416bd40412a414c759af7ac103932c666be43595375a37186

Observation 953fc14d-b499-4985-b114-f58ef9c66906 · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-21T21:44:23.469157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:875d1540490f8600e0f2c1eaaad0aa6f12d82c86e1fcda26911c172e6cfe3786

Observation 23ea347d-1d94-4ef4-bb10-fb0db93dcc64 · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-21T21:44:23.477762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:70afbc44843c08a32f3d13f3657f8401e98afcc645ed572d248b60cd324146dc

Observation 141a15f2-da20-4220-9cb6-893e247174ca · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-21T21:44:23.532086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:dfe50c7a719de505a4dab0fa23f885654d19b89a5f3ece28f15c1c50fbd2703c

Observation b0d7f38f-1e41-44ce-a38b-3fff147d2bb0 · outbound

This paper cites Senthil, L.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Senthil, L

Reference 5

Resolution
verified exact
doi, observed 2026-05-21T21:40:40.333110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:f53a6c7fdf07539cc7ea0af46a0cda24d1f8b525987ce40ee874ee05217ecdf7

Observation 25e96db7-31c9-4988-b711-603db33c4c25 · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-21T21:44:23.457489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:65d9724289eb6881c91a7326a26a28e94a06fc2cf62d59210a83ad788be0c6e9

Observation b21fedd6-0ab4-4b42-9b99-24e020032ada · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-21T21:44:23.480737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:4c0c5b915b2831d6ad5105a6c83590efe6c6b3ec2fa0c6d1209a083afc75be50

Observation 6217cf53-ad98-4399-8bfb-212fba8ed355 · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-21T21:44:23.529475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:4486f0cd41cbc752281ff9379fbc8692353c20126f6c26a96873d10a47a71f30

Observation 8d8e17f4-5494-47cb-ac43-2bd96d5f81bf · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-21T21:44:23.508834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:a1df59c4fed22e8411ea6db70721a2312ff02a76f8b0129c6f7dbb93e442cc7e

Observation ce732478-8a43-4a35-9e30-80dd908cad4d · outbound

This paper cites Xu and G.-M.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Xu and G.-M

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.477933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:7d6fc689eb297c97607d3fd52944c9a9973c8df21cd7259b9f84644a2bc4b42c

Observation 8ec53f77-46d3-471c-8222-cc8e1d89cd36 · outbound

This paper cites He, H.-Q.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle He, H.-Q

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.500359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:3904ffc1f9833b9ed7d8e0dc2d611780b9e2319bca2bda8d96612d27411b03ba

Observation c5dbea60-51cc-40e9-9f98-ba074b6966de · outbound

This paper cites Grover and A.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Grover and A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.495384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:8c5d6d7f15df3dd5aa9ad5558e0f91d0cf0c2099412f45d0f70e9c9c96548425

Observation bfa72e39-ef15-4f3a-97a1-f4e60c0ef439 · outbound

This paper cites Lu and D.-H.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Lu and D.-H

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.466911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:21e0e84609415fea16c4ec917314591c08ec8ca266a3f3a5d07f789042680a25

Observation 4ba39f62-7794-43bc-8c58-63084c80dd5d · outbound

This paper cites Verresen, R.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Verresen, R

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.540687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:8f5b186aa26a36b307dde955d788bd9d3ce2de9017f6155bce028dd1e09ec70e

Observation 7e513eb5-1b90-4bfe-8f08-ec93a20b0226 · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-21T21:44:23.455933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:8c417cb20537e459d5c181db4f14b04158fb5cc4491e1c78f0c4cdcb759d68cf

Observation feff6f07-a57c-4b1b-a5ea-f327eaea128b · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-21T21:44:23.483691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:a4d1bdfbd2cc0e6bed093acf9b9c918b86f6b099e22d1eccbd9d37f0dd76110e

Observation 7c7a4614-551a-4718-8521-b78dcb1d0496 · outbound

This paper cites Topological versus Landau-like phase transitions.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Topological versus Landau-like phase transitions

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-05-21T21:40:40.961769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:e3cba3450a873be33e8dbb320cfc2b0d5f24668b1302ff70dade6824d6bff5e5

Observation d94b2685-66d4-4a42-a042-54475570ae24 · outbound

This paper cites Dupont, S.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Dupont, S

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.519968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:259f538573cdd8097d789da85fb2bea9b43bdea22d74c334bbb79a75255b1ee8

Observation d3845b81-e119-40e8-a9bc-9a08671f0566 · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-05-21T21:44:23.471634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:d0166e30336d064f8a57294a00d6eebe7c99368bf6c9171b84c87392dd839ad7

Observation 91929890-8ed0-4f90-92ac-b08177228b8a · outbound

This paper cites Scaffidi, D.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Scaffidi, D

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.517163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:da6bfef0c87721224f903bfd920e680cce3181d24de9e8d34eaeb444ad18fcab

Observation b97cb21f-f747-421b-bae0-571dc6f1a142 · outbound

This paper cites You and Y.-Z.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle You and Y.-Z

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.488487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:04971cd8677ddfd4298cb3540e9a6bc12741f2ef654f96b62b70572d0c1759d5

Observation 109e5274-a2e3-4c0f-9233-ad58d669ad51 · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-05-21T21:44:23.497957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:97a4dd56b97c4c57a0ecd1d5e5290c34127223b5fbe2ec412080b59be780ae01

Observation 35bdac14-ffd2-4fd9-8d3d-d92dc0b5598f · outbound

This paper cites Tsui, H.-C.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Tsui, H.-C

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.514107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:7ac0fe7c4ef25ae6f7ab8737b521c3ec2698f19aa5756db1ce2e06a7d9568875

Observation 2561de27-3ac2-4b3c-ad34-05c7fd537704 · outbound

This paper cites Tsui, Y.-T.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Tsui, Y.-T

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.471840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:f8f57559c74ada4b8879403afdd7de1c90e906797a9b605989dca24576d381f4

Observation 0ba81617-ad47-438f-a4c8-256ffdd295a6 · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 25

Resolution
verified exact
doi, observed 2026-05-21T21:40:40.308666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:916123631661cb671a4b563bbefd5259086086d9d66892a0bab39afb2fc32812

Observation 833ac9a1-5edc-4de9-8663-539ce0c3d4de · outbound

This paper cites Tantivasadakarn, R.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Tantivasadakarn, R

Reference 26

Resolution
verified exact
doi, observed 2026-05-21T21:40:40.330534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:3ea512419a1522b1810141a767518712040d7610d84450330e32243cf2253cf7

Observation 3ea3ed2d-dd66-4978-8321-b45fb294fd6f · outbound

This paper cites Verresen, R.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Verresen, R

Reference 27

Resolution
verified exact
doi, observed 2026-05-21T21:40:40.305226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:fc5c0c5a967986d4a31400236f212e1b5e9d86e33767f25a7c4869269a37ba08

Observation 81f48204-29fc-47c8-a70e-71eb0a65ee5e · outbound

This paper cites Ji and X.-G.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Ji and X.-G

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.506306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:55d02d4287467f71054fa434bcde9b48ea06366fd5815e08d923fbc5f2e6ed8c

Observation fb38ec35-3d5a-47bb-9d27-f843c2862cc9 · outbound

This paper cites Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics

Reference 29

Resolution
verified exact
arxiv_id, observed 2026-05-21T21:40:40.993511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:7f3834e077077ead12a3d904896aa96edff666556491b47ee804eb8cbd9684a4

Observation 2aaecbfc-d077-40a5-883d-bd133e5a1ead · outbound

This paper cites Topological holography, quantum criticality, and boundary states.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Topological holography, quantum criticality, and boundary states

Reference 30

Resolution
verified exact
arxiv_id, observed 2026-05-21T21:40:40.970911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:373d9c7d27dd1d52ac3d6328a8a9b5f0463ab950ef46a0187782b8402025cffd

Observation 84a47f7b-0716-4e84-a376-c17a059cf241 · outbound

This paper cites Boundary-bulk relation for topological orders as the functor mapping higher categories to their centers.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Boundary-bulk relation for topological orders as the functor mapping higher categories to their centers

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-05-21T21:40:40.974818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:c38b872e6fdcac67cf74bee3e2979a951153776300ffb4fb95f8eae7f4b27c43

Observation c6eda712-eccf-4cb6-a798-6b87978ba465 · outbound

This paper cites Chatterjee and X.-G.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Chatterjee and X.-G

Reference 32

Resolution
verified exact
doi, observed 2026-05-21T21:40:40.339100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:76d845fd278f018e212bcd3866076b4308c1744c0700edc2e981ac46884dfb41

Observation c0100566-ae0c-4f6c-8c66-3de2389744f9 · outbound

This paper cites Lichtman, R.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Lichtman, R

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.487252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:19deeffee647f126e0af6ae7ae4658c91b8b56f188d6d3c16a50727a90c336fd

Observation d8af68b5-92a3-4bf3-b527-6dfd7a7f3818 · outbound

This paper cites Asymptotic density of states in 2d CFTs with non-invertible symmetries.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Asymptotic density of states in 2d CFTs with non-invertible symmetries

Reference 34

Resolution
verified exact
doi, observed 2026-05-21T21:40:40.327808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:38d604071305db8eff5459b8e917e25a4fbcede6bf75193fe48392fc13b75e14

Observation 24d43e34-4111-44db-ae68-3d1d064e4ce5 · outbound

This paper cites Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-05-21T21:40:40.983815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:4df7b2ec266af01250885141cbf4d3bc2589dcbff0aa61ed1a22cae18f0fdddd

Observation c98780ad-2233-49b3-bc9b-4f63012d1a43 · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-05-21T21:44:23.492804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:73dc69bbcbc0f112b38f03e2f45fe0c956d1a229c2b6674787219969572221fd

Observation e06e0d80-bf04-4812-9cb7-bb4e3dc3a691 · outbound

This paper cites Modular transformations and topological orders in two dimensions.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Modular transformations and topological orders in two dimensions

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-05-21T21:40:40.979415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:f99c0c8bd74a54d018de42af12ed59a2db76cc2fd3006f99b332ea674d91f2ef

Observation ea53214f-5f8f-41ac-8b55-549aa7333659 · outbound

This paper cites Manca, S.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Manca, S

Reference 38

Resolution
malformed identifier
doi_truncated, observed 2026-05-21T21:40:40.301647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:6fc61cf0b7303017ad4059d7a7376fd8d383837995e1fbed94f64f54dba1250b

Observation 635c38b9-58e5-483b-b99c-b4b9746adb5c · outbound

This paper cites Binder, Finite size scaling analysis of Ising model block distribution functions, Z.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Binder, Finite size scaling analysis of Ising model block distribution functions, Z

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.511606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:3240f513d91ff85f91af750424785d19256553313a8f39e6d97162617a6b5c4d

Observation 24cc5771-bfcd-4930-a6a0-c0e95cce92e6 · outbound

This paper cites Zhang, T.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Zhang, T

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.458730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:fec8af48b0abe09631ecc45e60cf5b3d231bb869bd31427a98ebfeda29d516f3

Observation 9bdbbd6b-270b-4620-a646-f0316471d287 · outbound

This paper cites Johannson, Dehn twists of 3-manifolds, inHomo- topy Equivalences of 3-Manifolds with Boundaries (Springer Berlin Heidelberg, Berlin, Heidelberg, 1979) pp.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Johannson, Dehn twists of 3-manifolds, inHomo- topy Equivalences of 3-Manifolds with Boundaries (Springer Berlin Heidelberg, Berlin, Heidelberg, 1979) pp

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.538193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:7f9d2d3603262992f57306be03f671627b6c9414730a7372513f089f131bfb5b

Observation bd734272-f201-4239-a71d-f0ae0a3c1cab · outbound

This paper cites Mapping class groups of non-orientable surfaces for beginners.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Mapping class groups of non-orientable surfaces for beginners

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-05-21T21:40:40.997746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:d6b22d794291bd746759c4ff64c8e45c6f614676cb3b8e6729c0f5abac6b0e2a

Observation 358a33ec-d3e4-44df-88dc-cb9af707a8c5 · outbound

This paper cites Mapping class groups of circle bundles over a surface.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Mapping class groups of circle bundles over a surface

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-05-21T21:40:40.965977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:d85d104f359fc0c1b8232e665f777eb731ebc1ac6bfc374b0e17f310d3738ea7

Observation 2230ef1b-3e05-453e-a247-4e6b44bdea51 · outbound

This paper cites Bulk Excitations of Invertible Phases.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Bulk Excitations of Invertible Phases

Reference 44

Resolution
verified exact
arxiv_id, observed 2026-05-21T21:40:40.988439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:bb02c2cd0e7cbab3186632e4db6b1d79df3c7ac51194c71e97fab2689384fc81

Observation e0c72d67-fab6-4ece-a385-49486ab56c2b · outbound

This paper cites Kawahigashi, A remark on gapped domain walls between topological phases, Letters in Mathematical Physics105, 893 (2015).

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Kawahigashi, A remark on gapped domain walls between topological phases, Letters in Mathematical Physics105, 893 (2015)

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.543872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:f604aaa86ea1d358110dbade06073dbc779fbc8038c657cc24b0b23bcf70ed8e

Observation a777d8b3-9dd4-444e-a8ad-747f4e8da139 · outbound

This paper cites Science338(6114), 1604–1606 (2012) https://doi.org/10.1126/science.1227224.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Science338(6114), 1604–1606 (2012) https://doi.org/10.1126/science.1227224

Reference 46

Resolution
verified exact
doi, observed 2026-05-21T21:40:40.312408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:d5a2de854729c70a8111c1e962c27c2a1fcc5f7b303c555d96d7de42fc379935

Observation c47a5d04-4c43-4f17-a970-068f96cd3440 · outbound

This paper cites Wen,Quantum field theory of many-body systems: From the origin of sound to an origin of light and electrons(Oxford university press, 2004).

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Wen,Quantum field theory of many-body systems: From the origin of sound to an origin of light and electrons(Oxford university press, 2004)

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.461616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:4f04a95cab71c8731b55c24963c74cff6ce24775a3403bb1078a1b1bfe2e56ed

Observation daddf470-4ae1-401c-a02c-a21d4db0b7c0 · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-05-21T21:44:23.490043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:b152ec381848ac64135ed12022a7e39fe0c7cd4ce16114b0a9dc73be5e2fcead

Observation a8c649a2-8715-435c-b952-c1648fc75478 · outbound

This paper cites Zhao and X.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Zhao and X

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.503468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:8bf99bddd49e9ae39e8fd644d15649f35353057ecb572274d084a606eb2e7dd5

Observation 0c9635a0-3520-42f0-a591-ab73a3519f8b · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-05-21T21:44:23.444060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:13e4dc7838e6971463b7d145eb673d4e317ff2f863fd1c6b6c6a61e387f0951e

Observation 2c8a58e3-f493-4871-b997-278e5b7fb2cd · outbound

This paper cites an unresolved cited work.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-05-21T21:44:23.446548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:5fc3940441e3dc91e013d195b21bde4f305d56e5062084c469cb36e20f772641

Observation 6515b3ea-5cb8-4b69-9219-03f56520731f · outbound

This paper cites Journal of High Energy Physics 2015(2), 172 (2015) https://doi.org/10.1007/JHEP02(2015)172.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Journal of High Energy Physics 2015(2), 172 (2015) https://doi.org/10.1007/JHEP02(2015)172

Reference 52

Resolution
verified exact
doi, observed 2026-05-21T21:40:40.316522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:d6b25bc7b7ec702b949e2850c0461f3d4fd864f970db340461c6e41760a7d5a8

Observation dc9bf4bb-4256-404f-8f75-65e4341429d5 · outbound

This paper cites Roumpedakis, S.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Roumpedakis, S

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.526032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:344cee5322721b866bde41c8f1af0973ac0206a21306c38f1fdffc381c2e4f3e

Observation 5f73412b-017b-4cfc-8347-968ca15c4e5c · outbound

This paper cites Tantivasadakarn and X.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Tantivasadakarn and X

Reference 54

Resolution
verified exact
doi, observed 2026-05-21T21:40:40.336304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:755f629a7895b4a4a2be328e82148a1a9eaf8e43f041fc36dbec4eadebe12578

Observation 1fbe1d3e-6edc-4397-8617-f136540c5ffb · outbound

This paper cites Kitaev and L.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Kitaev and L

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T21:44:23.535239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:7f74eb0997a2ef927b571e54bf07d6dc91b0f39326eb74642475357babcbfe3e

Observation 20f78f4f-1496-40c3-895c-a833ddafb87f · outbound

This paper cites String-net condensation: A physical mechanism for topological phases,.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle String-net condensation: A physical mechanism for topological phases,

Reference 56

Resolution
verified exact
doi, observed 2026-05-21T21:40:40.322095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:b4d5b9ef7439473348820a51ac6a3e9716602abea07af8e1aab3476f8e2b48b2

Pith citing papers

Observation 161dc2b0-d8fc-4d94-a360-70c2f408aef6 · inbound

Genus-protected higher-order topological phases cites this paper.

Genus-protected higher-order topological phases Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle

Reference 44

Resolution
verified exact
arxiv_id, observed 2026-05-20T00:00:25.087404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-08T06:19:08.664113Z digest=sha256:fa981d667741c09450ce9715b87cdf1e6822245b98224a0ef362f14149f242fd