Pith Number

pith:7BNDGQS2

pith:2011:7BNDGQS2FKP33YWFTRH5AIC7A2

not attested not anchored not stored refs pending

An Algorithm for the Computation of Eigenvalues, Spectral Zeta Functions and Zeta-Determinants on Hyperbolic Surfaces

Alexander Strohmaier, Ville Uski

arxiv:1110.2150 v4 · 2011-10-10 · math.SP · math-ph · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BNDGQS2FKP33YWFTRH5AIC7A2}

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	2026-05-18T00:30:22.920332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f85a33425a2a9fbde2c59c4fd0205f069b241397ad8e7e4cbb8fa2fe68761e1e

Aliases

arxiv: 1110.2150 · arxiv_version: 1110.2150v4 · doi: 10.48550/arxiv.1110.2150 · pith_short_12: 7BNDGQS2FKP3 · pith_short_16: 7BNDGQS2FKP33YWF · pith_short_8: 7BNDGQS2

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/7BNDGQS2FKP33YWFTRH5AIC7A2 \
  | 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: f85a33425a2a9fbde2c59c4fd0205f069b241397ad8e7e4cbb8fa2fe68761e1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d05c293dd8409f2ca978d445be37dbe084281bc8ef73414ef90e797c24fc8d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-10-10T19:10:40Z",
    "title_canon_sha256": "67dad97c4df657b2445a8f534bbfe385c027c48049a76534197b9a9704ca7dbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2150",
    "kind": "arxiv",
    "version": 4
  }
}