Pith Number

pith:B7OH2L2B

pith:2014:B7OH2L2BDPGD56N63HICRFFR2I

not attested not anchored not stored refs pending

On saturation games

Alon Naor, Dan Hefetz, Michael Krivelevich, Milo\v{s} Stojakovi\'c

arxiv:1406.2111 v3 · 2014-06-09 · 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{B7OH2L2BDPGD56N63HICRFFR2I}

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	2026-05-18T02:00:59.041004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fdc7d2f411bcc3ef9bed9d02894b1d2077ae27ba424739453b6cf8176b741e2

Aliases

arxiv: 1406.2111 · arxiv_version: 1406.2111v3 · doi: 10.48550/arxiv.1406.2111 · pith_short_12: B7OH2L2BDPGD · pith_short_16: B7OH2L2BDPGD56N6 · pith_short_8: B7OH2L2B

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/B7OH2L2BDPGD56N63HICRFFR2I \
  | 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: 0fdc7d2f411bcc3ef9bed9d02894b1d2077ae27ba424739453b6cf8176b741e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb8413dcf1a2fdd529b2e052f017acbbabe72b81b19e2c0e79ff15c22bc02a93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-09T09:03:10Z",
    "title_canon_sha256": "14ac7fde8ab163cb455fdd084ee6137c06c8b0231a79506dd4275a00032a06a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2111",
    "kind": "arxiv",
    "version": 3
  }
}