Pith Number

pith:A3UML27H

pith:2013:A3UML27HOMM4ECJVEXBUSTKMZG

not attested not anchored not stored refs pending

Graph Derangements

Pete L. Clark

arxiv:1306.6436 v2 · 2013-06-27 · 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{A3UML27HOMM4ECJVEXBUSTKMZG}

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	2026-05-18T03:19:23.208374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06e8c5ebe77319c2093525c3494d4cc986716dd4dddcba8787b01c3c8f6df11d

Aliases

arxiv: 1306.6436 · arxiv_version: 1306.6436v2 · doi: 10.48550/arxiv.1306.6436 · pith_short_12: A3UML27HOMM4 · pith_short_16: A3UML27HOMM4ECJV · pith_short_8: A3UML27H

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/A3UML27HOMM4ECJVEXBUSTKMZG \
  | 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: 06e8c5ebe77319c2093525c3494d4cc986716dd4dddcba8787b01c3c8f6df11d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "175f94766183d55d113a5d0de8bc5361d9396f73d63c55c821c4915171ebcca2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-27T08:30:56Z",
    "title_canon_sha256": "3130bbf3b2e6e6a7fe90273d21bcc77c722b77ddf38a632f330e60c798458741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6436",
    "kind": "arxiv",
    "version": 2
  }
}