Pith Number

pith:E4FOPLCU

pith:2013:E4FOPLCULYNQ3GB75JHSEUVAWX

not attested not anchored not stored refs pending

Avoider-Enforcer star games

Alon Naor, Andrzej Grzesik, Bal\'azs Patk\'os, Fiona Skerman, Mirjana Mikala\v{c}ki, Zolt\'an L\'or\'ant Nagy

arxiv:1302.2555 v3 · 2013-02-11 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4FOPLCULYNQ3GB75JHSEUVAWX}

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	2026-05-18T02:19:06.399248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

270ae7ac545e1b0d983fea4f2252a0b5c49bdefc6a625cfb88ae5eab36d3377b

Aliases

arxiv: 1302.2555 · arxiv_version: 1302.2555v3 · doi: 10.48550/arxiv.1302.2555 · pith_short_12: E4FOPLCULYNQ · pith_short_16: E4FOPLCULYNQ3GB7 · pith_short_8: E4FOPLCU

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/E4FOPLCULYNQ3GB75JHSEUVAWX \
  | 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: 270ae7ac545e1b0d983fea4f2252a0b5c49bdefc6a625cfb88ae5eab36d3377b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22e77f0898031198afba9a62e130bdabb09dec1982c641370191e605defdd1f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-11T18:06:22Z",
    "title_canon_sha256": "ab92c3e15fc6fd61cc516b67bfdf3a08bca2cc57e759896b14f8d028722d99dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2555",
    "kind": "arxiv",
    "version": 3
  }
}