Pith Number

pith:L7GHECPW

pith:2025:L7GHECPW54NJU3VY6VXPX7J4O4

not attested not anchored not stored refs pending

Cluster structures on schemes of bands

Bernard Leclerc, Luca Francone

arxiv:2504.14012 v2 · 2025-04-18 · 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{L7GHECPW54NJU3VY6VXPX7J4O4}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-06-30T02:16:50.857207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fcc7209f6ef1a9a6eb8f56efbfd3c77065dc3ffda76ed2cf6241884fcf2aa21

Aliases

arxiv: 2504.14012 · arxiv_version: 2504.14012v2 · doi: 10.48550/arxiv.2504.14012 · pith_short_12: L7GHECPW54NJ · pith_short_16: L7GHECPW54NJU3VY · pith_short_8: L7GHECPW

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/L7GHECPW54NJU3VY6VXPX7J4O4 \
  | 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: 5fcc7209f6ef1a9a6eb8f56efbfd3c77065dc3ffda76ed2cf6241884fcf2aa21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3751de2f4df66bcbff935b32e422181617628a8ecce791f52c391ff3b2c8800",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-04-18T18:04:48Z",
    "title_canon_sha256": "877fbc3762f2da0387cc2ce3bfa14eb854f158c02d82364a15b93aa1d598c222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.14012",
    "kind": "arxiv",
    "version": 2
  }
}