Pith Number

pith:YB33HOT2

pith:2013:YB33HOT2KRGONZQJ3LI3ARMJS7

not attested not anchored not stored refs pending

Exchangeable Equilibria, Part I: Symmetric Bimatrix Games

Asuman Ozdaglar, Noah D. Stein, Pablo A. Parrilo

arxiv:1307.3586 v3 · 2013-07-12 · 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{YB33HOT2KRGONZQJ3LI3ARMJS7}

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	2026-05-18T03:01:46.362501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c077b3ba7a544ce6e609dad1b0458997f8a5e87097d7c89caff8b1c5742796b9

Aliases

arxiv: 1307.3586 · arxiv_version: 1307.3586v3 · doi: 10.48550/arxiv.1307.3586 · pith_short_12: YB33HOT2KRGO · pith_short_16: YB33HOT2KRGONZQJ · pith_short_8: YB33HOT2

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/YB33HOT2KRGONZQJ3LI3ARMJS7 \
  | 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: c077b3ba7a544ce6e609dad1b0458997f8a5e87097d7c89caff8b1c5742796b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25127ca30d797a129416f394ae2ac61fae504169e881516800f8d49dfc564d75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-07-12T21:33:05Z",
    "title_canon_sha256": "b1e66c314d6a2ac08bc15cb91e3ba56ece29729668e615d807c8e027a529813c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3586",
    "kind": "arxiv",
    "version": 3
  }
}