Pith Number

pith:GINFZIHA

pith:2012:GINFZIHAUGZYBWALNY5XUOS3JA

not attested not anchored not stored refs pending

Perturbation of zeros of the Selberg zeta-function for $\Gamma_0(4)$

Dieter Mayer, Markus Fraczek, Roelof Bruggeman

arxiv:1201.2324 v1 · 2012-01-11 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GINFZIHAUGZYBWALNY5XUOS3JA}

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	2026-05-18T04:04:52.583033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

321a5ca0e0a1b380d80b6e3b7a3a5b48136d95152229f2d4c04428a0aa1380f7

Aliases

arxiv: 1201.2324 · arxiv_version: 1201.2324v1 · doi: 10.48550/arxiv.1201.2324 · pith_short_12: GINFZIHAUGZY · pith_short_16: GINFZIHAUGZYBWAL · pith_short_8: GINFZIHA

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/GINFZIHAUGZYBWALNY5XUOS3JA \
  | 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: 321a5ca0e0a1b380d80b6e3b7a3a5b48136d95152229f2d4c04428a0aa1380f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cc1a7850cc4d66d38a0655cce8abcf1b61da53fca96cb9397e9c0b214ffcbad",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-11T15:15:51Z",
    "title_canon_sha256": "7ca47177ccb19de6398ed64a2d3635b998b673f92e68ae960e8a3c1d9b1fb9d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2324",
    "kind": "arxiv",
    "version": 1
  }
}