Pith Number

pith:JXNYGISU

pith:2006:JXNYGISUJYOXXZ4RSPZI4MVG27

not attested not anchored not stored refs pending

Transitive factorizations of free partially commutative monoids and Lie algebras

G\'erard Henry Edmond Duchamp (LIPN), Jean-Gabriel Luque (IGM-LabInfo)

arxiv:math/0607420 v1 · 2006-07-18 · math.CO · cs.DM · cs.SC · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXNYGISUJYOXXZ4RSPZI4MVG27}

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	2026-05-18T01:08:50.042770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ddb8322544e1d7be79193f28e32a6d7f29c14bcec641356f88e8547d8d61958

Aliases

arxiv: math/0607420 · arxiv_version: math/0607420v1 · doi: 10.48550/arxiv.math/0607420 · pith_short_12: JXNYGISUJYOX · pith_short_16: JXNYGISUJYOXXZ4R · pith_short_8: JXNYGISU

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/JXNYGISUJYOXXZ4RSPZI4MVG27 \
  | 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: 4ddb8322544e1d7be79193f28e32a6d7f29c14bcec641356f88e8547d8d61958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "059fcd8047185c95d137270ffdc60db67ed874a593fdce36aeb1782c652f53b4",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SC",
      "math.GM"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-07-18T12:42:33Z",
    "title_canon_sha256": "04299287af9c18386d565f77e36b436dabe0d2d4b3259327573ca7e72b4def94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607420",
    "kind": "arxiv",
    "version": 1
  }
}