Pith Number

pith:ERN5CNRG

pith:2014:ERN5CNRGUB4BFDMFNBZ6MRJHU4

not attested not anchored not stored refs pending

Stochastic Multi-player Competitive Games in Discrete Time

Ivan Guo, Marek Rutkowski

arxiv:1405.2716 v1 · 2014-05-12 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ERN5CNRGUB4BFDMFNBZ6MRJHU4}

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	2026-05-18T02:52:04.888942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

245bd13626a078128d856873e64527a70d15d73c3c11a0fc14eaac5fc8619d00

Aliases

arxiv: 1405.2716 · arxiv_version: 1405.2716v1 · doi: 10.48550/arxiv.1405.2716 · pith_short_12: ERN5CNRGUB4B · pith_short_16: ERN5CNRGUB4BFDMF · pith_short_8: ERN5CNRG

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/ERN5CNRGUB4BFDMFNBZ6MRJHU4 \
  | 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: 245bd13626a078128d856873e64527a70d15d73c3c11a0fc14eaac5fc8619d00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08caa7bb05ad5a6161e5bc764ab014defbdfe702cd89a8b7d52049d3a1898c00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-12T11:47:28Z",
    "title_canon_sha256": "5885297afb5dce319ebc38e3d62c59d17ad0b355c008683a1a4320c69c238fb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2716",
    "kind": "arxiv",
    "version": 1
  }
}