Pith Number

pith:Z7HGIQTW

pith:2006:Z7HGIQTWIAYFWYMVP3QNF7YANZ

not attested not anchored not stored refs pending

Factorizations of permutations into star transpositions

Amarpreet Rattan, John Irving

arxiv:math/0610640 v2 · 2006-10-21 · 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{Z7HGIQTWIAYFWYMVP3QNF7YANZ}

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	2026-05-18T02:51:25.807614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfce64427640305b61957ee0d2ff006e7b6b8228278029329020ad32854e5f0d

Aliases

arxiv: math/0610640 · arxiv_version: math/0610640v2 · doi: 10.48550/arxiv.math/0610640 · pith_short_12: Z7HGIQTWIAYF · pith_short_16: Z7HGIQTWIAYFWYMV · pith_short_8: Z7HGIQTW

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/Z7HGIQTWIAYFWYMVP3QNF7YANZ \
  | 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: cfce64427640305b61957ee0d2ff006e7b6b8228278029329020ad32854e5f0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28daa65e94707443ea720790eb3a951f70e6d19b75191c64c3d68e1b0bed63d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2006-10-21T00:00:38Z",
    "title_canon_sha256": "dd2b8a9f77f7fe7ace94f2d8eb07ea208e79b0a7f860b23ebaa79a76375fa238"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610640",
    "kind": "arxiv",
    "version": 2
  }
}