Pith Number

pith:IRBXE4NH

pith:2014:IRBXE4NHRPWR4WMPJWFE7J5QUO

not attested not anchored not stored refs pending

Bost-Connes systems, Categorification, Quantum statistical mechanics, and Weil numbers

Goncalo Tabuada, Matilde Marcolli

arxiv:1411.3223 v1 · 2014-11-12 · math-ph · math.AG · math.AT · math.MP · math.NT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRBXE4NHRPWR4WMPJWFE7J5QUO}

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	2026-05-18T02:37:45.494337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44437271a78bed1e598f4d8a4fa7b0a3b2234c1d127b054f2ab63edc9c907a31

Aliases

arxiv: 1411.3223 · arxiv_version: 1411.3223v1 · doi: 10.48550/arxiv.1411.3223 · pith_short_12: IRBXE4NHRPWR · pith_short_16: IRBXE4NHRPWR4WMP · pith_short_8: IRBXE4NH

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/IRBXE4NHRPWR4WMPJWFE7J5QUO \
  | 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: 44437271a78bed1e598f4d8a4fa7b0a3b2234c1d127b054f2ab63edc9c907a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95b6f968e1b1eba2ed848912c843e0ef2469b6eb43fcd9ea27ab5fd32c20fc08",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.MP",
      "math.NT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-12T16:21:06Z",
    "title_canon_sha256": "7969c6a04fe147b6196f68fb11352611f5edc417199718a9674b098b1da43526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3223",
    "kind": "arxiv",
    "version": 1
  }
}