Paper Citation Record · LEDGER

A Residual-Shell-Based Lower Bound for Ollivier-Ricci Curvature

As of 15 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2604.12211.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2604.12211 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T21:29:20.176236Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

14 of 14 outbound references displayed

verified exact0
verified fuzzy0
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 020e7a35-c400-419e-9003-07b45631a912 · outbound

This paper cites Agent2Agent Protocol (A2A) Specification, v0.2.�� , 2025.

A Residual-Shell-Based Lower Bound for Ollivier-Ricci Curvature Agent2Agent Protocol (A2A) Specification, v0.2.�� , 2025

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-12T21:29:20.176236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad53b64e-a399-451d-8a8a-6cb8e79816fd · outbound

This paper cites Model Context Protocol (MCP).��, 2024.

A Residual-Shell-Based Lower Bound for Ollivier-Ricci Curvature Model Context Protocol (MCP).��, 2024

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-12T21:29:20.176236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c2ab13d-b955-4730-a746-487ae821df24 · outbound

This paper cites Agent Communication Protocol (ACP): RESTful multipart messaging for agent systems.

A Residual-Shell-Based Lower Bound for Ollivier-Ricci Curvature Agent Communication Protocol (ACP): RESTful multipart messaging for agent systems

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-12T21:29:20.176236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1d7c723-fa27-417c-8ed9-da719c8c4f70 · outbound

This paper cites A survey of agent interoperability protocols: Model Context Protocol (MCP), Agent Communication Protocol (ACP), Agent-to-Agent Protocol (A2A), and Agent Network Protocol (ANP).

A Residual-Shell-Based Lower Bound for Ollivier-Ricci Curvature A survey of agent interoperability protocols: Model Context Protocol (MCP), Agent Communication Protocol (ACP), Agent-to-Agent Protocol (A2A), and Agent Network Protocol (ANP)

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-12T21:29:20.176236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d2da7ba-60b6-419d-a22e-e357126c5352 · outbound

This paper cites an unresolved cited work.

A Residual-Shell-Based Lower Bound for Ollivier-Ricci Curvature Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-12T21:29:20.176236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97f3a36f-f9cf-4f37-8967-2dc18b1f9bd5 · outbound

This paper cites Adimulam, R.

A Residual-Shell-Based Lower Bound for Ollivier-Ricci Curvature Adimulam, R

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-12T21:29:20.176236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c64ade5-b263-4b0b-9725-6f209e7384fe · outbound

This paper cites Revisiting Gossip Protocols: A Vision for Emergent Coordination in Agentic Multi-Agent Systems.

A Residual-Shell-Based Lower Bound for Ollivier-Ricci Curvature Revisiting Gossip Protocols: A Vision for Emergent Coordination in Agentic Multi-Agent Systems

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-12T21:29:20.176236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa00f663-d606-46a2-b84e-0923eb39cf56 · outbound

This paper cites GPT-4o system card.

A Residual-Shell-Based Lower Bound for Ollivier-Ricci Curvature GPT-4o system card

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-12T21:29:20.176236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6cd5e0b-8486-4723-bf83-2a0b6da52916 · outbound

This paper cites Gemini: A Family of Highly Capable Multimodal Models.

A Residual-Shell-Based Lower Bound for Ollivier-Ricci Curvature Gemini: A Family of Highly Capable Multimodal Models

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-12T21:29:20.176236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 314abc47-8e9a-4fa2-9660-79db27e76434 · outbound

This paper cites Li et al.

A Residual-Shell-Based Lower Bound for Ollivier-Ricci Curvature Li et al

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-12T21:29:20.176236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a96e22c-6885-4d34-954a-f784aa1d604f · outbound

This paper cites MMBench: Is Your Multi-modal Model an All-around Player?.

A Residual-Shell-Based Lower Bound for Ollivier-Ricci Curvature MMBench: Is Your Multi-modal Model an All-around Player?

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-12T21:29:20.176236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21f226d5-8f44-4d7d-a8e9-16b5f2a039e2 · outbound

This paper cites Yue et al.

A Residual-Shell-Based Lower Bound for Ollivier-Ricci Curvature Yue et al

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-12T21:29:20.176236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4fc7ce83-71b1-48ef-ae00-b92b16dc6706 · outbound

This paper cites AutoGen: Enabling Next-Gen LLM Applications via Multi-Agent Conversation.

A Residual-Shell-Based Lower Bound for Ollivier-Ricci Curvature AutoGen: Enabling Next-Gen LLM Applications via Multi-Agent Conversation

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-12T21:29:20.176236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a753a797-38e2-4f89-95bf-5dc26aa3936b · outbound

This paper cites an unresolved cited work.

A Residual-Shell-Based Lower Bound for Ollivier-Ricci Curvature Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-12T21:29:20.176236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.