Pith Number

pith:57TYBDHD

pith:2013:57TYBDHDBHHW55UDMQVN4WTJGH

not attested not anchored not stored refs pending

Counting list matrix partitions of graphs

Andreas G\"obel, Colin McQuillan, David Richerby, Leslie Ann Goldberg, Tomoyuki Yamakami

arxiv:1306.5176 v3 · 2013-06-21 · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57TYBDHDBHHW55UDMQVN4WTJGH}

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	2026-05-18T02:18:33.239838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efe7808ce309cf6ef683642ade5a6931c0e86b479ed6c34c5987fcca807e395f

Aliases

arxiv: 1306.5176 · arxiv_version: 1306.5176v3 · doi: 10.48550/arxiv.1306.5176 · pith_short_12: 57TYBDHDBHHW · pith_short_16: 57TYBDHDBHHW55UD · pith_short_8: 57TYBDHD

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/57TYBDHDBHHW55UDMQVN4WTJGH \
  | 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: efe7808ce309cf6ef683642ade5a6931c0e86b479ed6c34c5987fcca807e395f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3213e060d3ec685f9b50c5cd4c380aa53ed87e5b74a5c82fe324974b41826fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-06-21T15:41:59Z",
    "title_canon_sha256": "e2794a485edc24e77a8e021d595dc6b45e60ed1d28dda196905e3d6cf2cef554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5176",
    "kind": "arxiv",
    "version": 3
  }
}