Pith Number

pith:VY6D4EVJ

pith:2010:VY6D4EVJRG3ZTLC2Y4VG5WQUJT

not attested not anchored not stored refs pending

Quantum Statistical Mechanics, L-series and Anabelian Geometry

Gunther Cornelissen, Matilde Marcolli

arxiv:1009.0736 v5 · 2010-09-03 · math.NT · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VY6D4EVJRG3ZTLC2Y4VG5WQUJT}

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	2026-05-18T04:23:47.995277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae3c3e12a989b799ac5ac72a6eda144cd50838e15e9093171baf0531ccca8129

Aliases

arxiv: 1009.0736 · arxiv_version: 1009.0736v5 · doi: 10.48550/arxiv.1009.0736 · pith_short_12: VY6D4EVJRG3Z · pith_short_16: VY6D4EVJRG3ZTLC2 · pith_short_8: VY6D4EVJ

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/VY6D4EVJRG3ZTLC2Y4VG5WQUJT \
  | 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: ae3c3e12a989b799ac5ac72a6eda144cd50838e15e9093171baf0531ccca8129

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28337f47f058e43a9cb5952cff4dbd4d4fa14b48bd3991842f9758108d629726",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-03T18:14:58Z",
    "title_canon_sha256": "bf17d261527fce466bcc18dfbae11797b2d92e0ba83aa6461baf2df4e8951b0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0736",
    "kind": "arxiv",
    "version": 5
  }
}