Pith Number

pith:TEMKO6JI

pith:2011:TEMKO6JIVLUJN4XVZ376VHJZHJ

not attested not anchored not stored refs pending

Analytic torsion of complete hyperbolic manifolds of finite volume

Jonathan Pfaff, Werner Mueller

arxiv:1110.4065 v1 · 2011-10-18 · 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{TEMKO6JIVLUJN4XVZ376VHJZHJ}

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	2026-05-18T04:10:47.429441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9918a77928aae896f2f5ceffea9d393a6637736b14dd84ab9d60a8bbbc9f3628

Aliases

arxiv: 1110.4065 · arxiv_version: 1110.4065v1 · doi: 10.48550/arxiv.1110.4065 · pith_short_12: TEMKO6JIVLUJ · pith_short_16: TEMKO6JIVLUJN4XV · pith_short_8: TEMKO6JI

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/TEMKO6JIVLUJN4XVZ376VHJZHJ \
  | 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: 9918a77928aae896f2f5ceffea9d393a6637736b14dd84ab9d60a8bbbc9f3628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7831d289497ea2d229329032b91b15a7aa0698450ec658b0cd27009e832505c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-10-18T17:37:51Z",
    "title_canon_sha256": "b333d9726117b3a274ca94d065233468ded3575cf4f28cc3006f1b11e854d802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4065",
    "kind": "arxiv",
    "version": 1
  }
}