Pith Number

pith:VQCPEVC5

pith:2011:VQCPEVC5JRFFOWVP4XAI3GNGQH

not attested not anchored not stored refs pending

The asymptotics of the Ray-Singer analytic torsion for compact hyperbolic manifolds

Jonathan Pfaff, Werner Mueller

arxiv:1108.2454 v1 · 2011-08-11 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQCPEVC5JRFFOWVP4XAI3GNGQH}

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	2026-05-18T04:15:37.680361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac04f2545d4c4a575aafe5c08d99a681e91e77278d2770994b1fbab1656f778c

Aliases

arxiv: 1108.2454 · arxiv_version: 1108.2454v1 · doi: 10.48550/arxiv.1108.2454 · pith_short_12: VQCPEVC5JRFF · pith_short_16: VQCPEVC5JRFFOWVP · pith_short_8: VQCPEVC5

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/VQCPEVC5JRFFOWVP4XAI3GNGQH \
  | 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: ac04f2545d4c4a575aafe5c08d99a681e91e77278d2770994b1fbab1656f778c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec1864c2ed3cc89cc8a83bf346253f2a336445b40e3c418e0bba91c93fa8d46b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-08-11T16:34:23Z",
    "title_canon_sha256": "3ee790756c9e9c753d0b99b85ce9f0be5ac2a5d0ae0d5bd8c12ada7a099626f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2454",
    "kind": "arxiv",
    "version": 1
  }
}