Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T15:12:16.119235Z
Paper Citation Record · LEDGER
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$
As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1908.01904.
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 2026-08-15T06:32:42.880941+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
25 of 25 outbound references displayed
- verified exact0
- verified fuzzy13
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 85b16454-1ce4-4266-8ac6-5984a13852dc · outbound
This paper cites an unresolved cited work.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:12:16.421155Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 03c90a5f-f623-4c6c-92a7-99b04a7916ac · outbound
This paper cites 4, 2065–2131.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ 4, 2065–2131
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:12:16.410854Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1d2269e9-c881-4efa-a08b-3b415e220468 · outbound
This paper cites an unresolved cited work.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:12:16.400315Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5e2fae6e-3fb4-484b-a3b2-494237882ba2 · outbound
This paper cites Behrens, K.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ Behrens, K
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:12:16.389597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3d4425ed-a085-4f89-b2be-c14e76f49edf · outbound
This paper cites an unresolved cited work.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:12:16.378958Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6babd71c-91ca-4d1f-be59-2884d5fda158 · outbound
This paper cites an unresolved cited work.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:12:16.368600Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 16bb4fe9-acb7-438d-a500-0e553e0486da · outbound
This paper cites an unresolved cited work.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:12:16.357670Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ea2d7e33-a6da-4d6c-8b36-ddcd2b603b84 · outbound
This paper cites an unresolved cited work.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:12:16.346704Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 162ea396-67ad-4b4d-803d-892931338c88 · outbound
This paper cites an unresolved cited work.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:12:16.336746Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3f2b4ead-8329-49b2-be7a-f5cb761255b3 · outbound
This paper cites an unresolved cited work.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:12:16.326547Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation da8ed9e2-7a9b-434b-9b1d-02f970d49e6f · outbound
This paper cites preprint.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ preprint
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:12:16.315982Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 37465f8b-bf1d-479a-ac97-8c5e97400e95 · outbound
This paper cites an unresolved cited work.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:12:16.305055Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation fb753737-4764-466e-9563-fcb29cb063b7 · outbound
This paper cites Hopkins, K(1)-local E∞ -ring spectra, Topological modular forms, 2014, pp.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ Hopkins, K(1)-local E∞ -ring spectra, Topological modular forms, 2014, pp
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:12:16.293414Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 65fc38ac-aee4-4430-a650-35577eab5acc · outbound
This paper cites 6 (2004), no.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ 6 (2004), no
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:12:16.281197Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2fbdf6b1-37ab-424f-8766-7f5f758751c9 · outbound
This paper cites 1, 284–302.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ 1, 284–302
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:12:16.271118Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ded3da76-8484-42cb-aec5-4c764835daa4 · outbound
This paper cites 666, American Mathematical Society, 1 999.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ 666, American Mathematical Society, 1 999
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:12:16.261183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation bcbeeb30-f23d-4666-9ff4-44e516ae2895 · outbound
This paper cites 2, 371–403.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ 2, 371–403
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:12:16.250942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 97c22798-3c3a-4cf4-99dc-c68a6873ca89 · outbound
This paper cites 2, 593–623.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ 2, 593–623
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:12:16.239366Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3b1688bd-ca8a-4003-b254-83049b0cf72d · outbound
This paper cites an unresolved cited work.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:12:16.227557Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 63bd76ad-0d2d-4900-9abe-dc44d391bcc9 · outbound
This paper cites an unresolved cited work.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:12:16.214841Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9d7f189c-dd95-4088-91ef-6fca70e3802e · outbound
This paper cites Milnor and John C.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ Milnor and John C
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:12:16.201796Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6ad6cc34-0d32-4c60-96fe-1bd030593eed · outbound
This paper cites Ravenel, Complex cobordism and stable homotopy groups of spheres , 2nd ed., Amer- ican Mathematical Society, 2004.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ Ravenel, Complex cobordism and stable homotopy groups of spheres , 2nd ed., Amer- ican Mathematical Society, 2004
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:12:16.187131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation db76a7d0-0e9e-4e04-bb75-f68d1d6d8757 · outbound
This paper cites 2, 327–379.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ 2, 327–379
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:12:16.173288Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0d3f435e-f653-4cd2-a483-bb473b091636 · outbound
This paper cites an unresolved cited work.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:12:16.161237Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation dfaaacdd-9658-41ce-b6f7-f82a108e96d5 · outbound
This paper cites 3, 311–328.
On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$ 3, 311–328
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:12:16.149630Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
No inbound Pith citation observations are available.