Pith Number

pith:5YWRFMHI

pith:2026:5YWRFMHI5DAY7ZEFDRLMTKE2ES

not attested not anchored not stored refs pending

A Sheaf Framework for Strategic Multi-Agent Systems: From Consensus to Nash Equilibria

Eduardo S\'anchez-Soto, Manuel Hern\'andez

arxiv:2606.01663 v1 · 2026-06-01 · cs.GT · cs.DC · cs.MA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YWRFMHI5DAY7ZEFDRLMTKE2ES}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-02T02:04:39.547108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee2d12b0e8e8c18fe4851c56c9a89a24b8524197c9e555ed61ffa2331d6d3734

Aliases

arxiv: 2606.01663 · arxiv_version: 2606.01663v1 · doi: 10.48550/arxiv.2606.01663 · pith_short_12: 5YWRFMHI5DAY · pith_short_16: 5YWRFMHI5DAY7ZEF · pith_short_8: 5YWRFMHI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5YWRFMHI5DAY7ZEFDRLMTKE2ES \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ee2d12b0e8e8c18fe4851c56c9a89a24b8524197c9e555ed61ffa2331d6d3734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e852be9d1357d942e8aa75e8a4f4818b39f37365d8b3247b8eb0f152ef8261f",
    "cross_cats_sorted": [
      "cs.DC",
      "cs.MA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-01T04:17:57Z",
    "title_canon_sha256": "6cee77d37b75ce8c9bc06b4e793c369408d3f7aed30d03fdf7c63bb2ffbf3935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01663",
    "kind": "arxiv",
    "version": 1
  }
}