Pith Number

pith:BUZICY6G

pith:2014:BUZICY6GO4IB4MZSJV2U5U2745

not attested not anchored not stored refs pending

Transitive factorizations of permutations and geometry

D. M. Jackson, I. P. Goulden

arxiv:1407.7568 v1 · 2014-07-28 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUZICY6GO4IB4MZSJV2U5U2745}

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	2026-05-18T02:46:22.309787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d328163c677101e33324d754ed35fe757354c595463fb2fa5277c0a993f9e2a

Aliases

arxiv: 1407.7568 · arxiv_version: 1407.7568v1 · doi: 10.48550/arxiv.1407.7568 · pith_short_12: BUZICY6GO4IB · pith_short_16: BUZICY6GO4IB4MZS · pith_short_8: BUZICY6G

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/BUZICY6GO4IB4MZSJV2U5U2745 \
  | 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: 0d328163c677101e33324d754ed35fe757354c595463fb2fa5277c0a993f9e2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e72d290b012ebab6fee73b39a2c7a0851bfd9ba1b8f0e53b8dc79a9d99f1e169",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-28T20:56:07Z",
    "title_canon_sha256": "401d8652f82e86e94264ca5b585e8122585e5468b8bc4ca74373af4309d47089"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7568",
    "kind": "arxiv",
    "version": 1
  }
}