Pith Number

pith:LFMRREYC

pith:2013:LFMRREYCU7YPXSDFNVLOMQVM4P

not attested not anchored not stored refs pending

The analytic torsion and its asymptotic behaviour for sequences of hyperbolic manifolds of finite volume

Jonathan Pfaff, Werner Mueller

arxiv:1307.4914 v1 · 2013-07-18 · math.SP · 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{LFMRREYCU7YPXSDFNVLOMQVM4P}

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	2026-05-18T03:18:07.238914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5959189302a7f0fbc8656d56e642ace3c0e747c0355b4843ef8a170fb55aa6e3

Aliases

arxiv: 1307.4914 · arxiv_version: 1307.4914v1 · doi: 10.48550/arxiv.1307.4914 · pith_short_12: LFMRREYCU7YP · pith_short_16: LFMRREYCU7YPXSDF · pith_short_8: LFMRREYC

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/LFMRREYCU7YPXSDFNVLOMQVM4P \
  | 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: 5959189302a7f0fbc8656d56e642ace3c0e747c0355b4843ef8a170fb55aa6e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12decd18e6713a8215e6bbf7ca9ad1b2c865fb8583a575477a6cf32720d6122b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-07-18T12:08:03Z",
    "title_canon_sha256": "86b04077a8af48706c097d7292d4f68b0e7af6112f14e67d586bbfae49d8f978"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4914",
    "kind": "arxiv",
    "version": 1
  }
}