Pith Number

pith:FBENNNET

pith:2025:FBENNNETW3SZC6BIBCF6G3LFCK

not attested not anchored not stored refs pending

An introduction to $(G,c)$-bands

Bernard Leclerc, Luca Francone

arxiv:2508.19066 v2 · 2025-08-26 · math.RT · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBENNNETW3SZC6BIBCF6G3LFCK}

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	2026-07-01T01:17:41.259175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2848d6b493b6e5917828088be36d65129c5e03f755afa5e3b640d2ac869b1c0d

Aliases

arxiv: 2508.19066 · arxiv_version: 2508.19066v2 · doi: 10.48550/arxiv.2508.19066 · pith_short_12: FBENNNETW3SZ · pith_short_16: FBENNNETW3SZC6BI · pith_short_8: FBENNNET

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/FBENNNETW3SZC6BIBCF6G3LFCK \
  | 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: 2848d6b493b6e5917828088be36d65129c5e03f755afa5e3b640d2ac869b1c0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12745a9ed3c37db8cb8abd46a6b2e58e5692ccea2e53a9c5a3453eb16f1edcbb",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-08-26T14:24:59Z",
    "title_canon_sha256": "a0beb246587481aee79bcb3b89b31a2649b33d08bd2242d5cc03bf4bcd1ed7ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.19066",
    "kind": "arxiv",
    "version": 2
  }
}