Pith Number

pith:DH2D2VEV

pith:2013:DH2D2VEVMAUFFOR6EHVKFDAN25

not attested not anchored not stored refs pending

Maass waveforms and low-lying zeros

Geoffrey Iyer, Levent Alpoge, Liyang Zhang, Nadine Amersi, Oleg Lazarev, Steven J. Miller

arxiv:1306.5886 v2 · 2013-06-25 · math.NT · math-ph · 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{DH2D2VEVMAUFFOR6EHVKFDAN25}

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	2026-05-18T03:01:46.382636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19f43d5495602852ba3e21eaa28c0dd7623633ef7dfd7edcefe0cd4dd7681eca

Aliases

arxiv: 1306.5886 · arxiv_version: 1306.5886v2 · doi: 10.48550/arxiv.1306.5886 · pith_short_12: DH2D2VEVMAUF · pith_short_16: DH2D2VEVMAUFFOR6 · pith_short_8: DH2D2VEV

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/DH2D2VEVMAUFFOR6EHVKFDAN25 \
  | 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: 19f43d5495602852ba3e21eaa28c0dd7623633ef7dfd7edcefe0cd4dd7681eca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "115820bf62037e7fa45fdb95619a1bd9bfbb65aca21648ed3dc2681c5fdd40c6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-25T08:58:57Z",
    "title_canon_sha256": "853cb0e64d1f25b3355aafaccd1680215e1d8b9639fdd8ecde39b076536959eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5886",
    "kind": "arxiv",
    "version": 2
  }
}