Pith Number

pith:XCDFJSHR

pith:2010:XCDFJSHRBMEYX7LGDJKJNHGY4D

not attested not anchored not stored refs pending

Nauty in Macaulay2

David Cook II

arxiv:1010.6194 v3 · 2010-10-29 · 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{XCDFJSHRBMEYX7LGDJKJNHGY4D}

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	2026-05-18T04:23:33.154117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b88654c8f10b098bfd661a54969cd8e0c3aa41c127c8919cd64d4a38e6015bda

Aliases

arxiv: 1010.6194 · arxiv_version: 1010.6194v3 · doi: 10.48550/arxiv.1010.6194 · pith_short_12: XCDFJSHRBMEY · pith_short_16: XCDFJSHRBMEYX7LG · pith_short_8: XCDFJSHR

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/XCDFJSHRBMEYX7LGDJKJNHGY4D \
  | 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: b88654c8f10b098bfd661a54969cd8e0c3aa41c127c8919cd64d4a38e6015bda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6a8c807bbcd3d03d55c7d6854eff372c1901cd5272a41ff7a475d05dd8250d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-29T12:52:50Z",
    "title_canon_sha256": "f27b89601058ee67097cb7e0ae3866f796c8d78c5e98cd866ef182b389daad2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6194",
    "kind": "arxiv",
    "version": 3
  }
}