Pith Number

pith:6F4RV67H

pith:2019:6F4RV67HSEWXLDXMM2M37PU774

not attested not anchored not stored refs pending

Nash equilibria in games over graphs equipped with a communication mechanism

Nathan Thomasset, Patricia Bouyer

arxiv:1906.07753 v2 · 2019-06-18 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6F4RV67HSEWXLDXMM2M37PU774}

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	2026-05-17T23:42:15.029168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1791afbe7912d758eec6699bfbe9fff06b3f611347e403ea0f2489156ab4505

Aliases

arxiv: 1906.07753 · arxiv_version: 1906.07753v2 · doi: 10.48550/arxiv.1906.07753 · pith_short_12: 6F4RV67HSEWX · pith_short_16: 6F4RV67HSEWXLDXM · pith_short_8: 6F4RV67H

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/6F4RV67HSEWXLDXMM2M37PU774 \
  | 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: f1791afbe7912d758eec6699bfbe9fff06b3f611347e403ea0f2489156ab4505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92b6d822112045574d1cd50d9b87545e60c8bcd33805885adb1c9e578dad3c33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2019-06-18T18:27:17Z",
    "title_canon_sha256": "4d392155b30b55ba8ac15f9a7e04b1a18b186b023363ab8805418436f087cf9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07753",
    "kind": "arxiv",
    "version": 2
  }
}