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Paper Citation Record · LEDGER

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States

As of 14 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2505.20180.

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

pith.paper-citation-record.v1
2505.20180 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:09:29.823241Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

30 of 30 outbound references displayed

  • verified exact13
  • verified fuzzy6
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8de5f92c-1861-4335-8cc3-a5a4b8de9e7e · outbound

This paper cites Edge states and the $\eta$ invariant.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Edge states and the $\eta$ invariant

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:32.778459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:26.337691Z digest=sha256:a16d4470fecddd973c0a4f98702bd33b2f351ff99d6a5499f9cc138574c81662

Observation 88e1f9ad-955a-4873-9750-93cee31e6f83 · outbound

This paper cites Jackiw and C.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Jackiw and C

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:09:35.810431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:26.449411Z digest=sha256:ab249787b4ddf7c05a2047bb058b587aa4e97b6c0e3b2e2c11b329f128b11312

Observation 7258f48c-7330-464d-8b89-94689238b19c · outbound

This paper cites Goldstone and F.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Goldstone and F

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:09:35.585122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:26.631606Z digest=sha256:f8e09354a2c65de642b37953b61e4b86afabbeba6b1c3961901723beb1aff056

Observation 25edf7b1-34ec-4345-a950-8ff333aa8be9 · outbound

This paper cites Jackiw and J.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Jackiw and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:09:35.393739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:26.791644Z digest=sha256:9da9572d4c811ba64d08681ecb9e43507246706a98bc966edbe5ccf545df6e41

Observation 08f2be50-1176-45df-a837-ea5c1e20069c · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:09:35.210670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:26.895547Z digest=sha256:f6828162125822f54679312646d95a2aec98eff57465af45e3830822dba6886a

Observation a9443861-f88e-419e-b2c0-0430788a776e · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:09:35.049803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:26.993830Z digest=sha256:4e104b3ed65a3309bd18ee73c14096b23aeeb7e710b06eac19cc36ebde8684d4

Observation 38f8dc6d-8d3f-48cc-9953-0fb120fe4446 · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T14:09:27.137468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:09:27.137468Z digest=sha256:72a192176be6f9725c76a090b46a8d7757b2d2b279ccc2c316099052454d1ff3

Observation 02449d69-5705-4e36-9416-de05c7c8e8d6 · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:09:34.911546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:27.228666Z digest=sha256:d274fa47331c1b037e2a04d636207a6e762467e7c2bdef56c72d02321f395309

Observation 2aa40703-6c28-4e0c-9c1a-cc7152adf692 · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:09:34.769024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:27.377402Z digest=sha256:3bce793aca7475feba75ffdb4c1f7dc7b54979ffca24cb8abe39685759b4ff7b

Observation cf1cdb7b-f058-4db6-8d2f-ca9ac88ecac5 · outbound

This paper cites Charged Vortex in Superconductor.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Charged Vortex in Superconductor

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:32.567384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:27.481852Z digest=sha256:1705c312a96329e686759dde1a930e42aef913bfa6d4fe5ac217e18851827928

Observation a5844819-8a37-440e-80da-7aa2d4d9d4d5 · outbound

This paper cites Quantum corrections to the mass of the supersymmetric vortex.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Quantum corrections to the mass of the supersymmetric vortex

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:32.374748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:27.587245Z digest=sha256:0a73238774db961fba34d4833195404bd39a802dfe26d3653f8faeb1d1188725

Observation 075e305b-1952-4e78-9c66-ed035b7149c4 · outbound

This paper cites Nonvanishing quantum corrections to the mass and central charge of the N=2 vortex and BPS saturation.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Nonvanishing quantum corrections to the mass and central charge of the N=2 vortex and BPS saturation

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:32.104318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:27.696024Z digest=sha256:89dbdde3d5ae72caf2a123d497e7f8966ba9aa0de03a6bfcd57eb20092febe64

Observation f72fb497-1d50-4645-9fc1-0a01a46961cc · outbound

This paper cites Fermionic Vacuum Energy from a Nielsen-Olesen Vortex.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Fermionic Vacuum Energy from a Nielsen-Olesen Vortex

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:31.867236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:27.787251Z digest=sha256:9bee54a867e2cf672d381c6b77b38dd38cc1f0492707e51c95c738af2ee7ac91

Observation e9e8fbc8-f2d2-4de9-b736-eccbe30ec105 · outbound

This paper cites Quantum corrections to the mass of self-dual vortices.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Quantum corrections to the mass of self-dual vortices

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:31.654856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:27.924690Z digest=sha256:d14ada1f228be0627e6d2f6a0217460c9f0200a0aeadc5a5fde1251fc08be0c2

Observation 66edbe6f-e37c-4d2e-b677-888b86a4822d · outbound

This paper cites Quantum QED Flux Tubes in 2+1 and 3+1 Dimensions.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Quantum QED Flux Tubes in 2+1 and 3+1 Dimensions

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:31.434928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:28.030938Z digest=sha256:f48f615dd9d62f978d8df431072062784b3d18e690c84bf7bb0387e8991cb48c

Observation e9e403d9-8b69-424d-b364-10a283aa912e · outbound

This paper cites Quantum magnetic flux lines, BPS vortex zero modes, and one-loop string tension shifts.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Quantum magnetic flux lines, BPS vortex zero modes, and one-loop string tension shifts

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:31.284156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:28.148056Z digest=sha256:56d50567e5345163f4c08b84286b096d3589462ac5fdfe687f1988d93511c287

Observation cefb8b91-fac2-4541-9666-6a7b0ebcd45f · outbound

This paper cites Quantum energies of BPS vortices in $D=2+1$ and $D=3+1$.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Quantum energies of BPS vortices in $D=2+1$ and $D=3+1$

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:31.057441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:28.304237Z digest=sha256:eddf40cf11fcbea9f466e3e33e662d11aaf5f4469ca723abb9bf36e49de90db3

Observation ddda42f0-8e28-4dbe-ab95-e6047f3cdc24 · outbound

This paper cites Electron fractionalization for two-dimensional Dirac fermions.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Electron fractionalization for two-dimensional Dirac fermions

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:30.796824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:28.379604Z digest=sha256:7d19a320ed35e214ff9429a6c78dc723418658e8759e93e6c67e85f42bfcc0eb

Observation 6ce46b1c-ee32-46e1-8def-6614cc7e1003 · outbound

This paper cites Jackiw and P.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Jackiw and P

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:09:34.437436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:28.480965Z digest=sha256:ff8335c673aa8b2e5b1f9042ec2aab7ff4952b8427089bf226bf75a4a79c0302

Observation fc91f676-f61e-4595-ad9c-15fb18b37846 · outbound

This paper cites Non-topological fractional fermion number in the Jackiw-Rossi model.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Non-topological fractional fermion number in the Jackiw-Rossi model

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:30.563545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:28.656356Z digest=sha256:d6749d00374f64c233647bd73535bc126982b53c3d067773773084a429674189

Observation b623f7d7-bd6c-4210-81c9-7c898b5d699d · outbound

This paper cites Soliton Fermionic number from the heat kernel expansion.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Soliton Fermionic number from the heat kernel expansion

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:30.369420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:28.782747Z digest=sha256:a3702aa8d5ad6105bf752fcf4f5fd35c98580fc4c86003e72138b865265733be

Observation 2d6c5fbf-14ef-4e14-85a5-ea7cc552eeff · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:09:34.175623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:28.890256Z digest=sha256:21b8d7103ad04aa35c848201d91bc7982b2a097d7e24eba7be1abd0a5482e0e7

Observation 63ea5888-d9c9-4279-ad7c-491844171f02 · outbound

This paper cites Universal structure of the edge states of the fractional quantum Hall states.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Universal structure of the edge states of the fractional quantum Hall states

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:30.100664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:29.001027Z digest=sha256:45475548bfe998e3ba1c285a537f035957d00b9859384f65c919fd43d3a8d772

Observation 9f7b6fae-0594-4385-8aef-815063ccd081 · outbound

This paper cites Alvarez-Gaume, S.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Alvarez-Gaume, S

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:09:34.008644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:29.136645Z digest=sha256:fe129ac2a0befbb1aaa71ef23717ee986e2fbc7a4db3dc1878f4c3ded5fe2660

Observation 689df9a2-062a-4f76-9172-532651faa2f3 · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:09:33.783501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:29.231410Z digest=sha256:a2f358f45371092d83c624c25d26f02234a1a09e67a5d247f1ddac7f655e84d7

Observation 1bdd0789-6d39-4b02-99f0-43b88c2fb8ab · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:09:33.588953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:29.366380Z digest=sha256:b8713cf1ac98ef41fda1112bcae36234ce049231d7f1e2e062f01849dbf619ba

Observation eb97d1a2-e440-4835-b79c-4f13f3cc474c · outbound

This paper cites Gravitational parity anomaly with and without boundaries.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Gravitational parity anomaly with and without boundaries

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-07T14:09:29.472439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:09:29.472439Z digest=sha256:a8ec49f13c0109966c5bcf023eb2102cadaf47c4d1c3fd0d08ade549fd55b449

Observation ef5ab18f-4df1-4a28-89e1-3da6efc6efb5 · outbound

This paper cites Heat kernel expansion: user's manual.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Heat kernel expansion: user's manual

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-07T14:09:29.593644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:09:29.593644Z digest=sha256:e66e0a32484f932b69e103571ff919a251c656a9455345f8c40e66d3fe321093

Observation abfcc41b-e825-46d3-a9c3-e181d3e98dc1 · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:09:33.297140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:29.725988Z digest=sha256:d4e42b8e4416dc5a639313ce8f5a8a1635e0ae6bd63cb4659078eb500b1857b9

Observation c56f5851-93d8-4171-8c73-1fa2556c60d6 · outbound

This paper cites Fursaev and D.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Fursaev and D

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:09:33.018718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:29.823241Z digest=sha256:f32b4b27bad2656f99903a05bdb9af8d133964d318f03e804c570be7f41560f6

Pith citing papers

No inbound Pith citation observations are available.