Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:58:20.654449Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2506.01181.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:58:20.654449Z
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
25 of 25 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 924b980b-e734-41a7-9bee-7dcbbb9e9145 · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 1
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 658d4f89-fac0-4e45-9ea1-d77d320054b1 · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 2
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 30125a44-1b53-475c-a762-471f8ce06154 · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 3
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 1198750d-7984-4827-b1f5-d828b09cb0da · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 4
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 0993664e-fa07-4cd1-9dd3-7a3352c7d291 · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 5
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 984d4222-a81b-4c2b-b002-627bb6f65c0d · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 6
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 bf127f39-15c0-4b30-ab0c-972b6069568c · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 7
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 51dcab62-1666-44e3-9283-5aa1b618588a · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 8
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 947f22c1-2e79-4943-8879-fe0243227ffb · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 9
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 6ea6c524-fe44-42f6-bc10-e139f0063c50 · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 10
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 69a63cb0-28c3-47e1-adc1-c478f6924bb8 · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 11
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 1383a5f7-a86f-463a-bbf7-01ee542fffec · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 12
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 f22b8ee9-57c2-482d-9a77-d720fe5f0686 · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 13
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 3eb8047a-7c46-4534-bc0e-235a08cd0332 · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Ramanujan
Reference 14
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 885a5d43-a879-4bdb-8269-a18cadfde33b · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Ramanujan.Collected Papers of Srinivasa Ramanujan
Reference 15
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 c4e1e91a-e08a-4d29-b024-6fa3a503cb97 · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Ramanujan.Notebooks of Srinivasa Ramanujan, Volume II.Tata Institute of Fundamental Research, Bombay, 1957
Reference 16
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 14c2f454-0e53-4228-bd9d-03cd9180f6a8 · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Ramanujan.The Lost Notebook and Other Unpublished Papers
Reference 17
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 88e71680-9915-48db-9dca-9625ab40fa33 · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 18
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 1e44304f-03a7-4f7a-995e-855ef22a91ed · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 19
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 c01c859c-a873-41ed-a406-dee9ab467e67 · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 20
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 3a209731-4a74-4324-a362-5f9e1a0e4fca · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 21
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 f3b4327a-5d17-4f07-9cd8-3806af18255f · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 22
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 1901d2cc-930a-4efe-9509-12a9360cd45d · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 23
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 5bbc95dc-0a7e-469e-8c81-9229003b2d26 · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Yi.The Construction and Applications of Modular Equations
Reference 24
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 f353c3e2-96fd-49c2-96e4-2b93be15b32e · outbound
Ninth degree analogue of Ramanujan's septic theta function identity Unresolved cited work
Reference 25
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.
No inbound Pith citation observations are available.