Pith Number

pith:POGEZSYO

pith:2007:POGEZSYOMT4WB7OUGL325RG6J2

not attested not anchored not stored refs pending

Universal cycles for permutations

J. Robert Johnson

arxiv:0710.5611 v1 · 2007-10-30 · 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{POGEZSYOMT4WB7OUGL325RG6J2}

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.

Cited by

1 paper in Pith

Superpermutation matrices

Receipt and verification

First computed	2026-07-04T15:05:17.528687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b8c4ccb0e64f960fdd432f7aec4de4eb95cbe694efea01d5b56f6872e5b9573

Aliases

arxiv: 0710.5611 · arxiv_version: 0710.5611v1 · doi: 10.48550/arxiv.0710.5611 · pith_short_12: POGEZSYOMT4W · pith_short_16: POGEZSYOMT4WB7OU · pith_short_8: POGEZSYO

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/POGEZSYOMT4WB7OUGL325RG6J2 \
  | 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: 7b8c4ccb0e64f960fdd432f7aec4de4eb95cbe694efea01d5b56f6872e5b9573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "385f6222ebd15aae780ae78af6d2d8d1b7ca6779556f45860798146a6f934471",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-10-30T11:22:53Z",
    "title_canon_sha256": "dadb9e29dfa64a79c0fb030069fefb59e206341cc405eec1c40e4cecdcff1d9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5611",
    "kind": "arxiv",
    "version": 1
  }
}