Pith Number

pith:6GODSZZA

pith:2012:6GODSZZAYQMBVVM3LESANOAETT

not attested not anchored not stored refs pending

Zeta Function on Surfaces of Revolution

Klaus Kirsten, Thalia D. Jeffres, Tianshi Lu

arxiv:1211.4043 v1 · 2012-11-16 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GODSZZAYQMBVVM3LESANOAETT}

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	2026-05-18T01:53:10.153023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f19c396720c4181ad59b592406b8049cf0840006861d48c1444843a0498ff7eb

Aliases

arxiv: 1211.4043 · arxiv_version: 1211.4043v1 · doi: 10.48550/arxiv.1211.4043 · pith_short_12: 6GODSZZAYQMB · pith_short_16: 6GODSZZAYQMBVVM3 · pith_short_8: 6GODSZZA

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/6GODSZZAYQMBVVM3LESANOAETT \
  | 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: f19c396720c4181ad59b592406b8049cf0840006861d48c1444843a0498ff7eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64b50a458b8a736cf7f4fa76c54035888f68f391e89d11ced1ead2ae1599987e",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-16T21:28:36Z",
    "title_canon_sha256": "f159dd4f83ea08c4731431e7129d4fcebb8cd8c52153eaa7f2d612eb5ab9e2f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4043",
    "kind": "arxiv",
    "version": 1
  }
}