Pith Number

pith:KOYZZMVN

pith:2001:KOYZZMVNDMGN5FEFHBDQR2CUDK

not attested not anchored not stored refs pending

Noncommutative symmetric functions VI: Free quasi-symmetric functions and related algebras

F. Hivert, G. Duchamp (University of Rouen), J.-Y. Thibon (University of Marne-la-Vallee)

arxiv:math/0105065 v1 · 2001-05-09 · 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{KOYZZMVNDMGN5FEFHBDQR2CUDK}

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	2026-05-18T03:34:00.590420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53b19cb2ad1b0cde9485384708e8541a8a784044c88b3533488405b2d7a31b10

Aliases

arxiv: math/0105065 · arxiv_version: math/0105065v1 · doi: 10.48550/arxiv.math/0105065 · pith_short_12: KOYZZMVNDMGN · pith_short_16: KOYZZMVNDMGN5FEF · pith_short_8: KOYZZMVN

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/KOYZZMVNDMGN5FEFHBDQR2CUDK \
  | 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: 53b19cb2ad1b0cde9485384708e8541a8a784044c88b3533488405b2d7a31b10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92b58319899fc9d9db5087b5c5286dc740ac873b5c2873908526c28b57cb8832",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2001-05-09T10:04:18Z",
    "title_canon_sha256": "721fbc1bad2a7c237da403f49c58638f78ec7bc50dab36bd0678649614a0cd13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0105065",
    "kind": "arxiv",
    "version": 1
  }
}