Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-12T01:13:47.290187Z
Paper Citation Record · LEDGER
The Reciprocity Gradient
As of 6 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2605.08323.
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 2026-08-05T06:32:48.257954+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
27 of 27 outbound references displayed
- verified exact5
- verified fuzzy13
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b0b4319c-9be4-49f7-8095-95a86624bc7d · outbound
This paper cites an unresolved cited work.
The Reciprocity Gradient Unresolved cited work
Reference 1
- Resolution
- verified exact
- doi, observed 2026-05-12T01:16:13.942483Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f8f46082-acd5-44d3-8b52-defe3bf1ac2a · outbound
This paper cites Cooperation and Reputation Dynamics with Reinforcement Learning.
The Reciprocity Gradient Cooperation and Reputation Dynamics with Reinforcement Learning
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T08:21:24.856208Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c33b5aa8-5e95-4fcc-80b2-e68230f89775 · outbound
This paper cites Learning with opponent- learning awareness.Autonomous Agents and Multi-Agent Systems (AAMAS 2018).
The Reciprocity Gradient Learning with opponent- learning awareness.Autonomous Agents and Multi-Agent Systems (AAMAS 2018)
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T08:10:57.468261Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 78732674-c120-4d51-aa2b-327e08f646f8 · outbound
This paper cites Multi-agent Reinforcement Learning in Sequential Social Dilemmas.
The Reciprocity Gradient Multi-agent Reinforcement Learning in Sequential Social Dilemmas
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T08:21:24.851838Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation cdc9db14-98e3-42d3-a9c9-84de76cd34bc · outbound
This paper cites Continuous control with deep reinforcement learning.
The Reciprocity Gradient Continuous control with deep reinforcement learning
Reference 6
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-05-12T08:21:24.842452Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 80108a4a-96aa-4144-9f9f-130f2e0a9434 · outbound
This paper cites Bottom-Up Reputation Promotes Cooperation with Multi-Agent Reinforcement Learning.
The Reciprocity Gradient Bottom-Up Reputation Promotes Cooperation with Multi-Agent Reinforcement Learning
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T08:21:24.847686Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 04174536-dff8-498e-b0cb-f83d51607371 · outbound
This paper cites Quantitative assess- ment can stabilize indirect reciprocity under imperfect information.Nature Communications, 14 (1):2086.
The Reciprocity Gradient Quantitative assess- ment can stabilize indirect reciprocity under imperfect information.Nature Communications, 14 (1):2086
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T08:10:57.462692Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 3a8d9f90-ed55-4375-9adf-299956a0dfcf · outbound
This paper cites The emergence of division of labour through decentralized social sanctioning.Proceedings of the Royal Society B: Biological Sciences, 290(2009).
The Reciprocity Gradient The emergence of division of labour through decentralized social sanctioning.Proceedings of the Royal Society B: Biological Sciences, 290(2009)
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T08:10:57.465264Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 2ef7ab48-c12b-4056-beed-9451b0fd44e9 · outbound
This paper cites Talk, Judge, Cooperate: Gossip-Driven Indirect Reciprocity in Self-Interested LLM Agents.
The Reciprocity Gradient Talk, Judge, Cooperate: Gossip-Driven Indirect Reciprocity in Self-Interested LLM Agents
Reference 10
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T02:04:51.904542Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ce9124f2-384e-49c3-a303-9cb345d58e55 · outbound
This paper cites We emphasize the assumptions each line of work places on agents, in order to make explicit where our heuristic-free formulation differs.
The Reciprocity Gradient We emphasize the assumptions each line of work places on agents, in order to make explicit where our heuristic-free formulation differs
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T08:10:57.419384Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 9141c0e4-3456-4a1b-a8cf-113cab9509c9 · outbound
This paper cites first-order.
The Reciprocity Gradient first-order
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T08:10:57.421940Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 4cfb7205-59f1-4e77-b3f0-2b320a65c233 · outbound
This paper cites an unresolved cited work.
The Reciprocity Gradient Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T08:10:57.442071Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c7777dfb-402a-4051-bfc1-cc18cbaaff13 · outbound
This paper cites Theseleading eightnorms represent the minimal sufficient complexity for robust indirect reciprocity in classical models.
The Reciprocity Gradient Theseleading eightnorms represent the minimal sufficient complexity for robust indirect reciprocity in classical models
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T08:10:57.406166Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c4534e40-cc98-4941-bddf-1cf85b02ddb6 · outbound
This paper cites Equality (iii) collapses the constant prefactor in front of the sum and repackages the per-step terms back inside a single expectation.
The Reciprocity Gradient Equality (iii) collapses the constant prefactor in front of the sum and repackages the per-step terms back inside a single expectation
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T08:10:57.459003Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0eb06f32-828c-45fd-bbe4-47f45e871c2c · outbound
This paper cites an unresolved cited work.
The Reciprocity Gradient Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T08:10:57.409602Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c6bbc52a-8d71-4c46-bd1e-ac32d7632232 · outbound
This paper cites TX t=1 ri t # = d dθi Eξ.
The Reciprocity Gradient TX t=1 ri t # = d dθi Eξ
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T08:10:57.425084Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 18398378-379f-4f2f-80f8-95603ea9a403 · outbound
This paper cites an unresolved cited work.
The Reciprocity Gradient Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T08:10:57.431844Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 10b49880-0f29-4a06-9598-02790508f289 · outbound
This paper cites an unresolved cited work.
The Reciprocity Gradient Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T08:10:57.436118Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 7583034b-7cc8-49c3-800f-abe9b73dff6f · outbound
This paper cites an unresolved cited work.
The Reciprocity Gradient Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T08:10:57.439470Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d830f46b-4974-4d89-b8fb-8cb542ca2522 · outbound
This paper cites Group (D) (Section J.5) tests scalability across population sizes.
The Reciprocity Gradient Group (D) (Section J.5) tests scalability across population sizes
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T08:10:57.450424Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c850fec9-0f10-48c9-9de1-24993ce751af · outbound
This paper cites Taxonomy of Opponent Regimes and Sanity Checks.To rigorously evaluate the reciprocity gradient, we conduct extensive experiments across a wide spectrum of opponent populations.
The Reciprocity Gradient Taxonomy of Opponent Regimes and Sanity Checks.To rigorously evaluate the reciprocity gradient, we conduct extensive experiments across a wide spectrum of opponent populations
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T08:10:57.412834Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 05a513c7-933e-48a9-9dfd-76ffc2f089b8 · outbound
This paper cites Agent 0 maintains two MLP estimators per opponent (Appendix F.2) and optimizes through a virtual computation graph in which the surrogates replace the true opponent functions.
The Reciprocity Gradient Agent 0 maintains two MLP estimators per opponent (Appendix F.2) and optimizes through a virtual computation graph in which the surrogates replace the true opponent functions
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T08:10:57.402221Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation df5e5b09-c1d5-4c60-baf8-911249ec5a25 · outbound
This paper cites an unresolved cited work.
The Reciprocity Gradient Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T08:10:57.396861Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 5a44143d-f6f8-4be9-908f-9a3e4097ac23 · outbound
This paper cites an unresolved cited work.
The Reciprocity Gradient Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T08:10:57.415759Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 589b507f-ec8e-48d2-a96c-d022bcc42bf6 · outbound
This paper cites References:4.5for L3/L6,1.25for the signal× PCAD (c=5) cell of Setting (B.2), and2.25for the other ProudCoop+AllD and HybridCoop+AllD cells (which usec=1).
The Reciprocity Gradient References:4.5for L3/L6,1.25for the signal× PCAD (c=5) cell of Setting (B.2), and2.25for the other ProudCoop+AllD and HybridCoop+AllD cells (which usec=1)
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T08:10:57.446056Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0e2cb69e-0c1c-4ed5-90d8-f823d9a89c44 · outbound
This paper cites an unresolved cited work.
The Reciprocity Gradient Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T08:10:57.429478Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 83b9c456-dc0c-4f8f-9f84-0d3abd53585d · outbound
This paper cites shadow-of-the-future.
The Reciprocity Gradient shadow-of-the-future
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T08:10:57.454986Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Pith citing papers
No inbound Pith citation observations are available.