Pith Number

pith:LULLAG44

pith:2026:LULLAG44VMDTSQNUKO5ZXRAEKY

not attested not anchored not stored refs pending

Wide subcategories and brick-finiteness for length categories

Francesco Sentieri

arxiv:2607.15991 v1 · 2026-07-17 · math.RT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LULLAG44VMDTSQNUKO5ZXRAEKY}

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	2026-07-20T02:19:24.508219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d16b01b9cab073941b453bb9bc404561279be0ac8cf794f13614ca387377358

Aliases

arxiv: 2607.15991 · arxiv_version: 2607.15991v1 · doi: 10.48550/arxiv.2607.15991 · pith_short_12: LULLAG44VMDT · pith_short_16: LULLAG44VMDTSQNU · pith_short_8: LULLAG44

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/LULLAG44VMDTSQNUKO5ZXRAEKY \
  | 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: 5d16b01b9cab073941b453bb9bc404561279be0ac8cf794f13614ca387377358

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ded3217dfbe903f10db950fdec8fb4dbab3f0c1bd89a8f9f90f19aa3d5d469ce",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-07-17T14:28:11Z",
    "title_canon_sha256": "631021400d2eb9846c5f6a56def1cf0b9b417f36f5193b91b46ba29923406bb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15991",
    "kind": "arxiv",
    "version": 1
  }
}