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Paper Citation Record · LEDGER

Wall-crossing formulas via spectral networks

As of 18 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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T22:02:32.586225Z digest=sha256:bd1a150c0268ab56b71f340c2941eade3250d3de5db577f90770c2efab99336f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T22:02:32.836256Z digest=sha256:bdaff613b6d8097e69dac072102f609dc81775ccb33c9feda8b039a8546ab814

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T22:02:32.839014Z digest=sha256:72414beca2a3231a0d71a329d8807298488cfba5df2668a946a821fbf1f749e8

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T22:02:32.833689Z digest=sha256:20fd1d06066bde6290de03f513fa228452848108a5a74da96370f129888e845a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T22:02:32.812221Z digest=sha256:8c2f8e113da69dc12d95ed186876d5ed9e393ae5e7334dcadecdab8665ee7a28

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T22:02:32.815690Z digest=sha256:69e0447ecf1facc119b0aba951a2ebf9c0ef44cfc6bd789369ef0c982d4338c4

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T22:02:32.805584Z digest=sha256:2e3333d22eaae1be68ceed6b5868c3ba17dae70dbf5bd54bd7887464ff7a2295

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:a863902e55c211348167cb31540361c8678e8ea16614b698897562a20c1c9232

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=sha256:340470309b4f373b67615ab06e686468ca670a5f686a966e58200098147c2f8e

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:b164f9b9d6d0272f97441acaa3bffb65e92dc92a58332bdbb9d9f7ba8404ff4e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T22:02:32.809249Z digest=sha256:40a9f5cfee674cb8156ca4d47216ba2109a3678af18ee815b17066925d63e521

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T22:02:32.685563Z digest=sha256:13d6c280bf0b1ccabe7445335912d1db3eedfe6072d06accf754eedce2a7864e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T22:02:32.821470Z digest=sha256:80dff457f133a31e227a9f4441aeb9c73268dbf3ddfe79158b2c74e88069e279

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T22:02:32.766704Z digest=sha256:7e0b0af29148ebb269104e45cc912ff2620729724ed710bb7094f51fd61a8b6e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T22:02:32.830498Z digest=sha256:7deafe84a0cd5ba3c71d4e98ebf3ecd9d3cf9238df7cac213942f1a52567b07a

Pith citing papers

No inbound Pith citation observations are available.