Pith Number

pith:HXKJXDQS

pith:2010:HXKJXDQSW57I5O4WWXRKOG5DXZ

not attested not anchored not stored refs pending

Partition and composition matrices

Anders Claesson, Mark Dukes, Martina Kubitzke

arxiv:1006.1312 v2 · 2010-06-07 · 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{HXKJXDQSW57I5O4WWXRKOG5DXZ}

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	2026-05-18T04:28:45.628072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dd49b8e12b77e8ebb96b5e2a71ba3be4f597f8ae5148995740268c645e1532c

Aliases

arxiv: 1006.1312 · arxiv_version: 1006.1312v2 · doi: 10.48550/arxiv.1006.1312 · pith_short_12: HXKJXDQSW57I · pith_short_16: HXKJXDQSW57I5O4W · pith_short_8: HXKJXDQS

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/HXKJXDQSW57I5O4WWXRKOG5DXZ \
  | 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: 3dd49b8e12b77e8ebb96b5e2a71ba3be4f597f8ae5148995740268c645e1532c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dfed303b5679bc51d2d0f12a3e6d5cbad6b5040246c88044b24a916b8736575",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-06-07T17:51:24Z",
    "title_canon_sha256": "e79fde57e10fa1c09f9eac1191d2a225f9e8256ec015056c4b781feaf92272bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1312",
    "kind": "arxiv",
    "version": 2
  }
}