Pith Number

pith:WSADE2RN

pith:2012:WSADE2RN2LPBWXQJORTXG3V4MX

not attested not anchored not stored refs pending

Large sets of consecutive Maass forms and fluctuations in the Weyl remainder

Holger Then

arxiv:1212.3149 v1 · 2012-12-13 · 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{WSADE2RN2LPBWXQJORTXG3V4MX}

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	2026-05-18T03:38:33.657972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b480326a2dd2de1b5e097467736ebc65fd0245bf41484adeeb19f1668f174298

Aliases

arxiv: 1212.3149 · arxiv_version: 1212.3149v1 · doi: 10.48550/arxiv.1212.3149 · pith_short_12: WSADE2RN2LPB · pith_short_16: WSADE2RN2LPBWXQJ · pith_short_8: WSADE2RN

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/WSADE2RN2LPBWXQJORTXG3V4MX \
  | 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: b480326a2dd2de1b5e097467736ebc65fd0245bf41484adeeb19f1668f174298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8e8909f749a9d433aab638f86f83cbc303d6d490b75f2f4d6d66b1a43c6adbb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-13T12:20:44Z",
    "title_canon_sha256": "b53b3ab0654fcc2f6748c792f5edd9515a46d689b960c926039d42c2de23d06c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3149",
    "kind": "arxiv",
    "version": 1
  }
}