Pith Number

pith:6VXJBFOK

pith:2011:6VXJBFOKVMYCSIMQYGENO2QJDC

not attested not anchored not stored refs pending

Combinatorial representations

Maximilien Gadouleau, Peter J. Cameron, S{\o}ren Riis

arxiv:1109.1216 v1 · 2011-09-06 · 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{6VXJBFOKVMYCSIMQYGENO2QJDC}

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	2026-05-18T04:14:05.139976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f56e9095caab30292190c188d76a0918b4255e96c79ecc9dcd9ec9d769dbb900

Aliases

arxiv: 1109.1216 · arxiv_version: 1109.1216v1 · doi: 10.48550/arxiv.1109.1216 · pith_short_12: 6VXJBFOKVMYC · pith_short_16: 6VXJBFOKVMYCSIMQ · pith_short_8: 6VXJBFOK

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/6VXJBFOKVMYCSIMQYGENO2QJDC \
  | 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: f56e9095caab30292190c188d76a0918b4255e96c79ecc9dcd9ec9d769dbb900

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9a7ef0706d5461bbdb3a5c4dba0d6b5b37fbc6a4910ad2303779159cc4446c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-06T15:49:10Z",
    "title_canon_sha256": "d6da4fa86acfdb1ef89d375d658a02de82c52100286e3860df22ed87e418363e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1216",
    "kind": "arxiv",
    "version": 1
  }
}