Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T10:40:43.148237Z
Paper Citation Record · LEDGER
Multi-Project Contracts
As of 8 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2506.05705.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
5 of 5 outbound references displayed
- verified exact0
- verified fuzzy2
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 74b0919e-1a17-42fb-b9f2-c7fbc95b8469 · outbound
This paper cites an unresolved cited work.
Multi-Project Contracts Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:40:43.248663Z
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.
Observation c1615882-e03b-4a31-9892-21ea2a05ec24 · outbound
This paper cites Specifically, ∃j∈M, x∈D j, S⊆A j,x such thatα j + X i∈S βi <min{f j(S), x} − X i∈S √cijx 2 √ 2.
Multi-Project Contracts Specifically, ∃j∈M, x∈D j, S⊆A j,x such thatα j + X i∈S βi <min{f j(S), x} − X i∈S √cijx 2 √ 2
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:40:43.233073Z
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.
Observation 487464db-e2fc-44f6-9aaf-cc4a37ab71c9 · outbound
This paper cites an unresolved cited work.
Multi-Project Contracts Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:40:43.216406Z
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.
Observation d6d25d20-024c-442f-bd03-e58982745b4e · outbound
This paper cites an unresolved cited work.
Multi-Project Contracts Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:40:43.200951Z
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.
Observation eaef532f-9edb-46e4-8434-67da66a68ee0 · outbound
This paper cites Proof.The proof proceeds similarly to the one of Claim 6.3.
Multi-Project Contracts Proof.The proof proceeds similarly to the one of Claim 6.3
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:40:43.184656Z
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.
Pith citing papers
No inbound Pith citation observations are available.