Pith Number

pith:N5H5KJ2B

pith:2026:N5H5KJ2BP4TMZ2IE6JWQPXMLGN

not attested not anchored not stored refs pending

Equilibria in Multiplayer Graph Games: An Algorithmic Study

L\'eonard Brice

arxiv:2605.19954 v1 · 2026-05-19 · cs.GT · cs.FL · 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{N5H5KJ2BP4TMZ2IE6JWQPXMLGN}

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	2026-05-20T02:05:56.822536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f4fd527417f26cce904f26d07dd8b334281a0acfe763745a59091b254d3ca53

Aliases

arxiv: 2605.19954 · arxiv_version: 2605.19954v1 · doi: 10.48550/arxiv.2605.19954 · pith_short_12: N5H5KJ2BP4TM · pith_short_16: N5H5KJ2BP4TMZ2IE · pith_short_8: N5H5KJ2B

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/N5H5KJ2BP4TMZ2IE6JWQPXMLGN \
  | 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: 6f4fd527417f26cce904f26d07dd8b334281a0acfe763745a59091b254d3ca53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b20481dbad3d4b457de60e8da91637b8cfbc3d205c22a03d6b970bb2cffda81",
    "cross_cats_sorted": [
      "cs.FL",
      "cs.MA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-05-19T15:05:52Z",
    "title_canon_sha256": "81c54b3e3a5bcfa6ee94c5b24d759bc2e85cde6973e667e491327c430c7ef6f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19954",
    "kind": "arxiv",
    "version": 1
  }
}