Paper Citation Record · LEDGER

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice

As of 12 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2607.16965.

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

pith.paper-citation-record.v1
2607.16965 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T19:34:10.583665Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

verified exact19
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1c166a55-b242-4c18-939b-f6e3dcc8027e · outbound

This paper cites Altland and M.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Altland and M

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:07.074851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f943a5d-8b64-4b32-9f0e-e4494bb86113 · outbound

This paper cites Kitaev,Periodic table for topological insulators and superconductors, AIP Confer- ence Proceedings1134(1), 22 (2009), doi:10.1063/1.3149495.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Kitaev,Periodic table for topological insulators and superconductors, AIP Confer- ence Proceedings1134(1), 22 (2009), doi:10.1063/1.3149495

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:07.131299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a953d02b-cb30-4af3-93bd-95f486cfa8d8 · outbound

This paper cites an unresolved cited work.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:07.235080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f382092-f0c5-4181-8836-20a651b6f03b · outbound

This paper cites an unresolved cited work.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-08-01T19:38:46.807020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8e5a0b70-f102-4f47-8591-3a1b8278c04c · outbound

This paper cites an unresolved cited work.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Unresolved cited work

Reference 5

Resolution: verified exact; doi, observed 2026-08-01T19:38:46.759020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2c54b8d5-2c0f-4f1f-a1c9-2b05da6dc99b · outbound

This paper cites Engineering Topological Materials.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Engineering Topological Materials

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-01T19:38:46.635217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a318fcec-6648-440c-88c0-b602bc496a0b · outbound

This paper cites an unresolved cited work.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:07.624219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66757ffc-7c29-4c4d-ba40-32f313f2ea83 · outbound

This paper cites an unresolved cited work.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Unresolved cited work

Reference 8

Resolution: malformed identifier; doi_truncated, observed 2026-08-01T19:38:46.488494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9ca399ca-8802-4bf0-8b3e-c5b3297d64ec · outbound

This paper cites Montambaux, F.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Montambaux, F

Reference 9

Resolution: verified exact; doi, observed 2026-08-01T19:38:46.357208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a4c1e776-61f5-45da-9a85-759b5defcbe3 · outbound

This paper cites Montambaux, F.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Montambaux, F

Reference 10

Resolution: verified exact; doi, observed 2026-08-01T19:38:46.255278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cf44629a-9024-4ad7-a099-6f4ef77c8666 · outbound

This paper cites an unresolved cited work.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Unresolved cited work

Reference 11

Resolution: verified exact; doi, observed 2026-08-01T19:38:46.093620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 76e9f39a-fe56-44a7-b602-e7cbb24e15f3 · outbound

This paper cites Wavefronts Dislocations Measure Topology in Graphene with Defects.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Wavefronts Dislocations Measure Topology in Graphene with Defects

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:08.339150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84d7c773-1b9e-4397-8ad5-b3904d76f2fe · outbound

This paper cites Abulafia, A.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Abulafia, A

Reference 13

Resolution: verified exact; doi, observed 2026-08-01T19:38:46.031293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ac446b94-0b0a-4670-bc3a-c098ed9a9eb2 · outbound

This paper cites Kelly and N.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Kelly and N

Reference 14

Resolution: verified exact; doi, observed 2026-08-01T19:38:45.924838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 08ca5947-f093-4b74-be97-ae4e99207f15 · outbound

This paper cites an unresolved cited work.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Unresolved cited work

Reference 15

Resolution: verified exact; doi, observed 2026-08-01T19:38:45.821185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5b3c4852-135c-4c33-b2b2-ba3d5ddf1993 · outbound

This paper cites Ovdat, J.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Ovdat, J

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:08.847554Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d39310ed-2c00-4b1d-9caf-9bb79595ba53 · outbound

This paper cites an unresolved cited work.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Unresolved cited work

Reference 17

Resolution: verified exact; doi, observed 2026-08-01T19:38:45.650969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6d941cb7-3bb1-4f85-b147-b2976b298341 · outbound

This paper cites an unresolved cited work.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Unresolved cited work

Reference 18

Resolution: verified exact; doi, observed 2026-08-01T19:38:45.414187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c2a20858-f4eb-4aee-bb58-7ce8a297aa5a · outbound

This paper cites Amara, S.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Amara, S

Reference 19

Resolution: verified exact; doi, observed 2026-08-01T19:38:45.312468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fa94a3db-a6bd-4c89-8b7a-f98a4474ba22 · outbound

This paper cites an unresolved cited work.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Unresolved cited work

Reference 20

Resolution: verified exact; doi, observed 2026-08-01T19:38:45.024007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 03338937-1c68-4efa-a823-20bcbd08db1e · outbound

This paper cites Dutreix, L.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Dutreix, L

Reference 21

Resolution: verified exact; doi, observed 2026-08-01T19:38:44.935282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 53d95106-433a-4000-b6e0-1ac5b8676e3d · outbound

This paper cites Godsil and G.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Godsil and G

Reference 22

Resolution: verified exact; doi, observed 2026-08-01T19:38:44.825004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a9d1baf4-eec4-4880-a6a2-afae6230351e · outbound

This paper cites Faccio, L.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Faccio, L

Reference 23

Resolution: verified exact; doi, observed 2026-08-01T19:38:44.709411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9e6a9fa3-8846-453a-8ac2-a4860cd91fd1 · outbound

This paper cites an unresolved cited work.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:09.676562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db4442e4-d853-4956-b399-4512bf4f530f · outbound

This paper cites an unresolved cited work.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:09.767493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5dc5f52-58a7-45a4-94be-4e0eec941177 · outbound

This paper cites Eguchi, P.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Eguchi, P

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:09.827578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b6d9778-516d-4ec4-9e2f-ab5b2db8ad86 · outbound

This paper cites The Atiyah-Singer index theorem.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice The Atiyah-Singer index theorem

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:09.910917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee1cf5fe-aa8f-4a9b-8bc6-34a53dec99a4 · outbound

This paper cites Roe,Elliptic operators, topology and asymptotic methods, Acta Applicandae Math- ematica20(1), 193 (1990), doi:10.1007/BF00046916.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Roe,Elliptic operators, topology and asymptotic methods, Acta Applicandae Math- ematica20(1), 193 (1990), doi:10.1007/BF00046916

Reference 28

Resolution: verified exact; doi, observed 2026-08-01T19:38:44.555269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3fdf900b-feba-44bd-85a9-9fd80f2a191b · outbound

This paper cites Nakahara,Geometry, topology and physics, Graduate student series in physics.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Nakahara,Geometry, topology and physics, Graduate student series in physics

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:10.051069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 756cdedf-3f76-4486-a654-1d2c59f23876 · outbound

This paper cites an unresolved cited work.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:10.121224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6142e813-5578-4ce7-992a-72a53690792b · outbound

This paper cites an unresolved cited work.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:10.172410Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ba81f38-a677-4fdd-8dd8-3eb7c3ff4e8b · outbound

This paper cites Evers and A.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Evers and A

Reference 32

Resolution: verified exact; doi, observed 2026-08-01T19:38:44.446620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d8865497-b496-4d98-9fdc-8927a0d7162d · outbound

This paper cites Monthus and T.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Monthus and T

Reference 33

Resolution: verified exact; doi, observed 2026-08-01T19:38:44.336229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f4933338-3f9f-4f12-9bc6-2594529a6993 · outbound

This paper cites an unresolved cited work.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:10.366514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de0f57fb-e1eb-4343-92d6-aa0b4ccb9cc7 · outbound

This paper cites Tarruell, D.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Tarruell, D

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:10.451983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20eea7b0-9e1f-452e-846f-fb4677dc12d5 · outbound

This paper cites an unresolved cited work.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:10.518605Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b9c0469-8553-4fab-a921-b30d087a534a · outbound

This paper cites Hillery, R.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice Hillery, R

Reference 37

Resolution: malformed identifier; no resolver link, observed 2026-08-01T19:34:10.583665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.