Pith Number

pith:F3G4D7IG

pith:2011:F3G4D7IG2DREBFUU5YQ46Z5E7G

not attested not anchored not stored refs pending

Depth in Bingo Closure

J. Bowman Light, Jeffrey Beyerl, Robert E. Jamison

arxiv:1109.6693 v1 · 2011-09-29 · 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{F3G4D7IG2DREBFUU5YQ46Z5E7G}

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	2026-05-18T04:11:52.661197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ecdc1fd06d0e2409694ee21cf67a4f99e1170e59b1aace861a30abe0d987b7c

Aliases

arxiv: 1109.6693 · arxiv_version: 1109.6693v1 · doi: 10.48550/arxiv.1109.6693 · pith_short_12: F3G4D7IG2DRE · pith_short_16: F3G4D7IG2DREBFUU · pith_short_8: F3G4D7IG

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/F3G4D7IG2DREBFUU5YQ46Z5E7G \
  | 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: 2ecdc1fd06d0e2409694ee21cf67a4f99e1170e59b1aace861a30abe0d987b7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ac995d071ca848fa10f8c2af8a1c10d3c58cc0f3c54426dc1f6f0cce643e6ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-29T23:11:29Z",
    "title_canon_sha256": "1d2125e31c00adcab936d578f81680b4758d51d1db9a89aadcc1cc350d5f5d69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6693",
    "kind": "arxiv",
    "version": 1
  }
}