Pith Number

pith:AX3AE3O2

pith:2016:AX3AE3O26JBTMI7AMKGMD5SXXK

not attested not anchored not stored refs pending

One-Level density for holomorphic cusp forms of arbitrary level

Jonathan DeWitt, Owen Barrett, Paula Burkhardt, Robert Dorward, Steven J. Miller

arxiv:1604.03224 v4 · 2016-04-12 · 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{AX3AE3O26JBTMI7AMKGMD5SXXK}

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	2026-05-18T00:40:24.354046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05f6026ddaf2433623e0628cc1f657ba94296019e69eb0cb64ffc9d103151d35

Aliases

arxiv: 1604.03224 · arxiv_version: 1604.03224v4 · doi: 10.48550/arxiv.1604.03224 · pith_short_12: AX3AE3O26JBT · pith_short_16: AX3AE3O26JBTMI7A · pith_short_8: AX3AE3O2

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/AX3AE3O26JBTMI7AMKGMD5SXXK \
  | 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: 05f6026ddaf2433623e0628cc1f657ba94296019e69eb0cb64ffc9d103151d35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95fc2cb6a3286198dfd87e198d7a16648941fadfef81828e20e2addf211c8ef6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-12T02:58:40Z",
    "title_canon_sha256": "a0ea3f3755684fb9139c7df93ccd934a6f96b9a878cf5ba86d214580d8a11d18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03224",
    "kind": "arxiv",
    "version": 4
  }
}