Pith Number

pith:DX6R3JDU

pith:2012:DX6R3JDUY2W7JEV5H2IDTLHTVF

not attested not anchored not stored refs pending

Generalized Maass Wave Forms

Tobias M\"uhlenbruch, Wissam Raji

arxiv:1204.5603 v1 · 2012-04-25 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DX6R3JDUY2W7JEV5H2IDTLHTVF}

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	2026-05-18T03:30:02.858847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dfd1da474c6adf492bd3e9039acf3a94096d1138cb9f2f3c31b8545b6e13548

Aliases

arxiv: 1204.5603 · arxiv_version: 1204.5603v1 · doi: 10.48550/arxiv.1204.5603 · pith_short_12: DX6R3JDUY2W7 · pith_short_16: DX6R3JDUY2W7JEV5 · pith_short_8: DX6R3JDU

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/DX6R3JDUY2W7JEV5H2IDTLHTVF \
  | 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: 1dfd1da474c6adf492bd3e9039acf3a94096d1138cb9f2f3c31b8545b6e13548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db1976b34f263f0545a34f8c1f4ff6a4058585ecade550b87ad33f817557ad72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-25T09:59:38Z",
    "title_canon_sha256": "3fa85cb1a0e45967c9854f73d997dd8ba418cb9275298c74d2ef829bd5acbf0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5603",
    "kind": "arxiv",
    "version": 1
  }
}