Pith Number

pith:OYO42GS4

pith:2013:OYO42GS4PLAVZ7SBMUZVGKCOEB

not attested not anchored not stored refs pending

Beyond Nash Equilibrium in Open Spectrum Sharing: Lorenz Equilibrium in Discrete Games

D. Dumitrescu, Ligia Cremene

arxiv:1304.1658 v1 · 2013-04-05 · nlin.AO · 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{OYO42GS4PLAVZ7SBMUZVGKCOEB}

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	2026-05-18T03:28:55.054367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

761dcd1a5c7ac15cfe41653353284e20793f1226e44cbe81c457c4227ce3497e

Aliases

arxiv: 1304.1658 · arxiv_version: 1304.1658v1 · doi: 10.48550/arxiv.1304.1658 · pith_short_12: OYO42GS4PLAV · pith_short_16: OYO42GS4PLAVZ7SB · pith_short_8: OYO42GS4

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/OYO42GS4PLAVZ7SBMUZVGKCOEB \
  | 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: 761dcd1a5c7ac15cfe41653353284e20793f1226e44cbe81c457c4227ce3497e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb2b123cf2a0d631576cfbc427c3851fcbef2ebc917b8153878ad2773cc28939",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2013-04-05T09:38:50Z",
    "title_canon_sha256": "883cfbfd2eb2f6c6053206594af47ac3520c7ede96d182975b8bb9b6b4776c4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1658",
    "kind": "arxiv",
    "version": 1
  }
}