Pith. sign in

Paper Citation Record · LEDGER

Discrete quantum systems from topological field theory

As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2506.05131.

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

pith.paper-citation-record.v1
2506.05131 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:37:41.830260Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T15:13:22.275045Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6892e22f-1caa-45ac-9b81-1008da43b778 · outbound

This paper cites an unresolved cited work.

Discrete quantum systems from topological field theory Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:37:42.798346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:37:40.159649Z digest=sha256:50dcc161a92e74559b735ef27c2c31b3172e2848739a338b80d6f62fd54aa8c9

Observation 15eeecc3-3e52-47d7-bf21-66376bb56ec6 · outbound

This paper cites Topological Defects on the Lattice I: The Ising model.

Discrete quantum systems from topological field theory Topological Defects on the Lattice I: The Ising model

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:40.229594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:40.229594Z digest=sha256:723933a8dc0709d1122db3d4b5b21ffef52020e0d666c225481eb865a7f01020

Observation 4cf5c7b9-7ff1-4ad5-be75-3393b5fc68cc · outbound

This paper cites Blanchet, N.

Discrete quantum systems from topological field theory Blanchet, N

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:42.753429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:37:40.374650Z digest=sha256:f205638cee0be3f91fc65bfff29fb3a07a672df0b89afccd5dcfc93b1251391f

Observation 45d871b0-3b24-48ba-bb18-7b44babf39a8 · outbound

This paper cites 5, Cambridge University Press, Cambridge, 1996.

Discrete quantum systems from topological field theory 5, Cambridge University Press, Cambridge, 1996

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:42.709360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:37:40.446074Z digest=sha256:1061a41189d6259624d297300d9578b8f166f4a950c9b1584fa91955c95b8321

Observation d393564b-c0e3-4f7c-bfd5-77b44a2cf9b0 · outbound

This paper cites Non-Invertible Duality Defects in 3+1 Dimensions.

Discrete quantum systems from topological field theory Non-Invertible Duality Defects in 3+1 Dimensions

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:40.516884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:40.516884Z digest=sha256:12248ce30c498bd6c6b14ded06f4d177ad0d462c0d3f8ebe1087aa3fa9017d22

Observation 961948b6-56e8-49b1-a617-c56792feaa59 · outbound

This paper cites thesis, University of Texas at Austin, 2011.

Discrete quantum systems from topological field theory thesis, University of Texas at Austin, 2011

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:42.674085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:37:40.639857Z digest=sha256:f6e422b701f3bed147d659dc8c410102bd595458e62ae0edc1513b2a92118749

Observation 9e3ed305-5d73-4f56-902b-075c235405ea · outbound

This paper cites On fusion categories.

Discrete quantum systems from topological field theory On fusion categories

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:40.741472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:40.741472Z digest=sha256:f014b81ae412e7cbdfcd8b61847d3a5373e9560407b11b2cc6b588cdf6f3d7a8

Observation bbbd1f02-f68f-4da3-8d7d-5f4a3789bad5 · outbound

This paper cites Freed, Quantum theory from a geometric viewpoint.

Discrete quantum systems from topological field theory Freed, Quantum theory from a geometric viewpoint

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:42.638646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:37:40.834703Z digest=sha256:b5b0ce6e25e85fcd0c5f81aefe18ba6e9adc74cac85f2ac6091fd110e1702138

Observation dbae4055-f58a-41f0-b7aa-f23e9d7f3144 · outbound

This paper cites Kramers-Wannier duality from conformal defects.

Discrete quantum systems from topological field theory Kramers-Wannier duality from conformal defects

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:40.937274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:40.937274Z digest=sha256:ffb2ee6eaac31dff9ebdaf4908fc141f1e1b7ced9ca24514314af3d4275859e2

Observation f0d17adf-c167-41a2-a621-d1dcc0f591b0 · outbound

This paper cites Topological symmetry in quantum field theory.

Discrete quantum systems from topological field theory Topological symmetry in quantum field theory

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.164561Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.164561Z digest=sha256:225da59dcbf1015d03ccf7669b0b0567292b9ce9d8ecd680f0168d33b618b9dc

Observation 357c9c2c-291b-45a6-aa48-88def6327e9d · outbound

This paper cites Topological dualities in the Ising model.

Discrete quantum systems from topological field theory Topological dualities in the Ising model

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.336377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.336377Z digest=sha256:f5f3b2bdb382938fe616ada8f84b25d727f2a7d0a06e88d52b296b921e7e251b

Observation 43aae690-f9ae-4b45-8dd4-b927ae355733 · outbound

This paper cites Gapped boundary theories in three dimensions.

Discrete quantum systems from topological field theory Gapped boundary theories in three dimensions

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.447063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.447063Z digest=sha256:22b13cf3172b9d2eb94769b36590b2fe359886b8a985085e800f2c44e6643081

Observation ad463acf-6baf-4388-9739-455e2d1b33bb · outbound

This paper cites an unresolved cited work.

Discrete quantum systems from topological field theory Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:37:42.604650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:37:41.543957Z digest=sha256:723c46263f133ca7534bc17745bcb826b2322ade2c9c8efbec74b04d0f208080

Observation f85656c5-1f67-46d6-b161-fe10c3072079 · outbound

This paper cites Fault-tolerant quantum computation by anyons.

Discrete quantum systems from topological field theory Fault-tolerant quantum computation by anyons

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.688900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.688900Z digest=sha256:c52c705cca100062a8afe0b1834f5e2869d4a03673459b0906f38f6c7eea7eb9

Observation a02918e1-2b44-446b-ae6e-2fca89bb9f1f · outbound

This paper cites Models for gapped boundaries and domain walls.

Discrete quantum systems from topological field theory Models for gapped boundaries and domain walls

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.746230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.746230Z digest=sha256:7ba39f218f8d79249d051a96a2fd629cda470ce93ee3ecffd691652426e46071

Observation 42b3c5df-0bd1-4cc9-930a-c53da6989ec8 · outbound

This paper cites Kramers-Wannier-like duality defects in (3+1)d gauge theories.

Discrete quantum systems from topological field theory Kramers-Wannier-like duality defects in (3+1)d gauge theories

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.757326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.757326Z digest=sha256:4d699d4d65267da23e9c394a3ac20f2705983fccb7995d517bf471fed30b2090

Observation 9bd90c4b-04da-459e-9f20-f61fdbf69d22 · outbound

This paper cites Wick rotation and the positivity of energy in quantum field theory.

Discrete quantum systems from topological field theory Wick rotation and the positivity of energy in quantum field theory

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.775639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.775639Z digest=sha256:881e2ca88bdd504567c012d40722d414d0b9a4fd2dcd7204168b94c761621790

Observation 2f892909-1701-4f31-bcdd-878ba870b13c · outbound

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

Discrete quantum systems from topological field theory String-net condensation: A physical mechanism for topological phases

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.785171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.785171Z digest=sha256:b19a4e9ec711e985e0df9e8464aaed741399e2a753c7bbd1093f4edb1eb5966a

Observation 7f09e81a-6357-44f8-9b4e-419826dc5af5 · outbound

This paper cites an unresolved cited work.

Discrete quantum systems from topological field theory Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:37:42.570530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:37:41.796339Z digest=sha256:20e85aafd0f7a1f526654e296ac4ff695593e1164d0ecd7f44b372e528c9dbd6

Observation 7cb162ee-f6b4-42bc-8ee6-40c9dd9d4cce · outbound

This paper cites Reshetikhin and V.

Discrete quantum systems from topological field theory Reshetikhin and V

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:42.537547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:37:41.803573Z digest=sha256:95b057538b6d578d1e891142a9ebf3af5c3443460ff8ca790779ea7cd49252e2

Observation 1894d92f-8e9e-4863-8fa8-e0e83eacb2c0 · outbound

This paper cites https://online.kitp.ucsb.edu/online/strings05/segal/rm/jwvideo.html.

Discrete quantum systems from topological field theory https://online.kitp.ucsb.edu/online/strings05/segal/rm/jwvideo.html

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:42.488465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:37:41.809192Z digest=sha256:d5bd9c0768e10972620816c3e714736c5d2d1496e2eb6264b86132a27a7b2721

Observation 17523d8b-9468-42f5-8302-7d149eed36e8 · outbound

This paper cites an unresolved cited work.

Discrete quantum systems from topological field theory Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.816042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.816042Z digest=sha256:de02e4a5d3f18e29a5b3555b129bfc4d57a7427165a8f3d99514fa510b91c172

Observation 6735dda3-089d-4570-aac5-f7d616add5b2 · outbound

This paper cites an unresolved cited work.

Discrete quantum systems from topological field theory Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.824745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.824745Z digest=sha256:bf653f9777101bbf655a165dbfb0628d3f9be072d7a8c9ddcd5ca31717f930d4

Observation 35eac7ad-5823-43e2-96ab-e1c275b94bf6 · outbound

This paper cites Volume-Dependent Field Theories.

Discrete quantum systems from topological field theory Volume-Dependent Field Theories

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:37:41.960152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:37:41.830260Z digest=sha256:cf2c9eaa99e176772fb0bc3094c73a670c37234e911f1f0ff0dcf22e1525f68a

Pith citing papers

Observation bcff32ab-a7e4-4d15-b59f-b1f3aa6c538b · inbound

Cobordism of nested manifolds cites this paper.

Cobordism of nested manifolds Discrete quantum systems from topological field theory

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T15:13:22.275045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:13:22.275045Z digest=sha256:6e8bcd8ba780c6b423d90e9b2e10266b882b4d6cac498b6e1e48d6e380ef9790