Pith Number

pith:FHSB3WCD

pith:2005:FHSB3WCDUVRDRW2K2LPXMAIUW3

not attested not anchored not stored refs pending

Noncommutative Symmetric Functions and Lagrange Inversion

Jean-Christophe Novelli, Jean-Yves Thibon

arxiv:math/0512570 v3 · 2005-12-26 · 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{FHSB3WCDUVRDRW2K2LPXMAIUW3}

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	2026-05-18T03:34:00.474706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29e41dd843a56238db4ad2df760114b6e6fcb83dc720300b42aac15acb8c7f26

Aliases

arxiv: math/0512570 · arxiv_version: math/0512570v3 · doi: 10.48550/arxiv.math/0512570 · pith_short_12: FHSB3WCDUVRD · pith_short_16: FHSB3WCDUVRDRW2K · pith_short_8: FHSB3WCD

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/FHSB3WCDUVRDRW2K2LPXMAIUW3 \
  | 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: 29e41dd843a56238db4ad2df760114b6e6fcb83dc720300b42aac15acb8c7f26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a4651a83e5ee1051e9fb51df8091d15ec1cc141ae2b3b7114dcf96b0bc03b5e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-12-26T09:54:40Z",
    "title_canon_sha256": "97115dbefb37877a7412da752c4226c2ab87aedb85423db9827700031b0e6be0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512570",
    "kind": "arxiv",
    "version": 3
  }
}