Pith Number

pith:7MNGQQFK

pith:2013:7MNGQQFKNVBL6I44Z6K62BVOB6

not attested not anchored not stored refs pending

A gluing formula for the analytic torsion on hyperbolic manifolds with cusps

Jonathan Pfaff

arxiv:1312.6384 v1 · 2013-12-22 · math.SP · math.DG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MNGQQFKNVBL6I44Z6K62BVOB6}

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	2026-05-18T01:37:16.301489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb1a6840aa6d42bf239ccf95ed06ae0f89e63a4c75b96ffab51b140789505235

Aliases

arxiv: 1312.6384 · arxiv_version: 1312.6384v1 · doi: 10.48550/arxiv.1312.6384 · pith_short_12: 7MNGQQFKNVBL · pith_short_16: 7MNGQQFKNVBL6I44 · pith_short_8: 7MNGQQFK

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/7MNGQQFKNVBL6I44Z6K62BVOB6 \
  | 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: fb1a6840aa6d42bf239ccf95ed06ae0f89e63a4c75b96ffab51b140789505235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aca8bfe1d2862b20c5bb7c379313632a81225e518231ef0958b12a303926be6",
    "cross_cats_sorted": [
      "math.DG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-12-22T13:43:04Z",
    "title_canon_sha256": "822965f55655e308a9e8fcd522a5f8cb3864505b5c9bab70398b8aaab60b1ae0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6384",
    "kind": "arxiv",
    "version": 1
  }
}