Pith Number

pith:MOFO6UMO

pith:2016:MOFO6UMO5DYMO7TSKDQHFV3TOH

not attested not anchored not stored refs pending

Properties of the Extended Graph Permanent

Iain Crump

arxiv:1608.01414 v3 · 2016-08-04 · math.CO · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOFO6UMO5DYMO7TSKDQHFV3TOH}

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	2026-05-18T00:44:13.705481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

638aef518ee8f0c77e7250e072d77371e38b3aad5d5c9256fde7c46f2a091d15

Aliases

arxiv: 1608.01414 · arxiv_version: 1608.01414v3 · doi: 10.48550/arxiv.1608.01414 · pith_short_12: MOFO6UMO5DYM · pith_short_16: MOFO6UMO5DYMO7TS · pith_short_8: MOFO6UMO

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/MOFO6UMO5DYMO7TSKDQHFV3TOH \
  | 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: 638aef518ee8f0c77e7250e072d77371e38b3aad5d5c9256fde7c46f2a091d15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0df056ff274724c040dc97eb2bc0b0ad55f2ba903e87e94ec2a0eced1a844dd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-04T01:58:33Z",
    "title_canon_sha256": "5151188fbb060feaa4248e8d819a1c646491776217f12019aeb3ce45ec9ede08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01414",
    "kind": "arxiv",
    "version": 3
  }
}