Pith Number

pith:S7254UAF

pith:2001:S7254UAFYYL7KJKOBTXFCHQI5W

not attested not anchored not stored refs pending

Schur Partial Derivative Operators

Jean-Christophe Aval, Nantel Bergeron

arxiv:math/0111246 v1 · 2001-11-22 · 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{S7254UAFYYL7KJKOBTXFCHQI5W}

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	2026-05-18T01:00:03.476538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97f5de5005c617f5254e0cee511e08ed99aed5573cae92ef07475dd092cd38e3

Aliases

arxiv: math/0111246 · arxiv_version: math/0111246v1 · doi: 10.48550/arxiv.math/0111246 · pith_short_12: S7254UAFYYL7 · pith_short_16: S7254UAFYYL7KJKO · pith_short_8: S7254UAF

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/S7254UAFYYL7KJKOBTXFCHQI5W \
  | 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: 97f5de5005c617f5254e0cee511e08ed99aed5573cae92ef07475dd092cd38e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7889f456ef74cdda2a9c59497480fb10b70ab7129674e909428b25d406de2499",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2001-11-22T16:12:33Z",
    "title_canon_sha256": "cbf8f8582fbe8d76fabe83dc06fa858736ab9940d451b1134e5f04d44b19cacd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111246",
    "kind": "arxiv",
    "version": 1
  }
}