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Paper Citation Record · LEDGER

Wall-crossing formulas via spectral networks

As of 10 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2508.07727.

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

pith.paper-citation-record.v1
2508.07727 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:02:32.839014Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

15 of 15 outbound references displayed

  • verified exact3
  • verified fuzzy5
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bd80c279-a292-40f6-8035-fee1c30a013d · outbound

This paper cites an unresolved cited work.

Wall-crossing formulas via spectral networks Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:02:32.990836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:02:32.586225Z digest=sha256:c654de974b703a1927975b9e46977a57307692c857e1ac0de3ab239e574c6a47

Observation 17a59946-7283-4442-ad64-2950784f89f3 · outbound

This paper cites Springer-Verlag, Berlin, 1984, pp.

Wall-crossing formulas via spectral networks Springer-Verlag, Berlin, 1984, pp

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:02:32.935365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:02:32.836256Z digest=sha256:52918a898e31824a8b733607e2287ff1a399d4e5167499f331f1f9011d7f3b8e

Observation 4952ed9c-4298-4979-9d44-eefe44ab2a56 · outbound

This paper cites an unresolved cited work.

Wall-crossing formulas via spectral networks Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:02:32.927329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:02:32.839014Z digest=sha256:be34cf894b8a7be6beb96cd31cd93598e55bcb0e5e7ad77d80f025c867b55d88

Observation be09559e-612d-45c4-a61d-408cb95b9af5 · outbound

This paper cites Meinhardt.

Wall-crossing formulas via spectral networks Meinhardt

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:02:32.943409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:02:32.833689Z digest=sha256:b6a06ebf7b367594db88c56b4b52e4cb7f2d5eee03647aaf83ee8854c6eccae7

Observation 908259ff-bf32-4be6-a39f-0d60ca7fcfc0 · outbound

This paper cites an unresolved cited work.

Wall-crossing formulas via spectral networks Unresolved cited work

Reference 179

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:02:32.968173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:02:32.812221Z digest=sha256:d12f831cbe6a6b62183dbbdfe55cec86e71238d703c54c56d3000e6d26e0e4fd

Observation be684d46-6ac5-4f32-b83d-844c86f16c45 · outbound

This paper cites Gaiotto, G.

Wall-crossing formulas via spectral networks Gaiotto, G

Reference 237

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:02:32.960050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:02:32.815690Z digest=sha256:4038e357981c333aae11e6292ea438b6f38642d320e5e4a6cf200abdc94e9159

Observation 6e20fcfd-bd66-493d-b69e-8e8b7f5ef190 · outbound

This paper cites Donaldson-Thomas theory for categories of homological dimension one with potential.

Wall-crossing formulas via spectral networks Donaldson-Thomas theory for categories of homological dimension one with potential

Reference 278

Resolution
verified exact
local_arxiv, observed 2026-08-05T22:02:32.907672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:02:32.805584Z digest=sha256:db5fcc23135b993b15141c46a40b74e5f500bf54f9f989068754b5e561c15256

Observation c3c86146-f454-4d05-90a6-02760725ebc0 · outbound

This paper cites Spectral Networks and Non-abelianization.

Wall-crossing formulas via spectral networks Spectral Networks and Non-abelianization

Reference 403

Resolution
unresolved
no resolver link, observed 2026-08-05T22:02:32.818338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:02:32.818338Z digest=sha256:7dcc8fde34b934e9acd1d13c22f9fbc0a60b094bbab474db402024fff8fd44bd

Observation 01e6dcd8-3da2-4bcd-9d49-acdd726744bf · outbound

This paper cites Stability structures, motivic Donaldson-Thomas invariants and cluster transformations.

Wall-crossing formulas via spectral networks Stability structures, motivic Donaldson-Thomas invariants and cluster transformations

Reference 1995

Resolution
unresolved
no resolver link, observed 2026-08-05T22:02:32.823977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:02:32.823977Z digest=sha256:35b645edc636cbf60df1a54d37244bf4844569736983ba899154f2b91ab32a12

Observation 52d36281-ba96-4907-91ed-90661b98479f · outbound

This paper cites Holomorphic Floer theory I: exponential integrals in finite and infinite dimensions.

Wall-crossing formulas via spectral networks Holomorphic Floer theory I: exponential integrals in finite and infinite dimensions

Reference 2008

Resolution
unresolved
no resolver link, observed 2026-08-05T22:02:32.826928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:02:32.826928Z digest=sha256:c2c67c31eb934e25c5a67f4d0e010c6c5dd5d2795bbd7c63b24b81443f1d2cdf

Observation 8bd4d175-0d11-42c4-821b-d096d0ed2f2b · outbound

This paper cites Davison and S.

Wall-crossing formulas via spectral networks Davison and S

Reference 2015

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:02:32.975998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:02:32.809249Z digest=sha256:ddc9a15b16111038a2083973301fcc3e6c1e2bba9ce4428a2e5212e0c81c72a4

Observation 9dacd109-7e08-4ea4-ac8c-bf550e87819e · outbound

This paper cites Joyce structures on spaces of quadratic differentials.

Wall-crossing formulas via spectral networks Joyce structures on spaces of quadratic differentials

Reference 2019

Resolution
verified exact
local_arxiv, observed 2026-08-05T22:02:32.919185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:02:32.685563Z digest=sha256:4c068910cbc15aa4cc3df29420cc47b2451fb741c906632fa3852900559feea0

Observation 5a634056-603e-4709-9ddf-74430852ee57 · outbound

This paper cites an unresolved cited work.

Wall-crossing formulas via spectral networks Unresolved cited work

Reference 2021

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:02:32.951932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:02:32.821470Z digest=sha256:664876a04374908c3c36431b1323df8efe27792adf5409cbfbb42bf45d78c4fd

Observation 702314d2-9e7e-45f9-be1d-5559f8d780c8 · outbound

This paper cites Bridgeland and I.

Wall-crossing formulas via spectral networks Bridgeland and I

Reference 2022

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:02:32.983349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:02:32.766704Z digest=sha256:07f0b32c7ca293563caba43675ff04c605e0f7fe4999562b1f14186c2518bb65

Observation 67440b32-b166-4d80-aa06-ee9bf36b5ccb · outbound

This paper cites Critical exponent gap and leafwise dimension.

Wall-crossing formulas via spectral networks Critical exponent gap and leafwise dimension

Reference 2024

Resolution
verified exact
local_arxiv, observed 2026-08-05T22:02:32.869691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:02:32.830498Z digest=sha256:0599d4bb1b88c55150ba9cc9c88478a8e434eeb0589d683645249f203b86f738

Pith citing papers

No inbound Pith citation observations are available.