Pith Number

pith:52IS7IPK

pith:2003:52IS7IPKIXENSDLWUCZ4MKYZUT

not attested not anchored not stored refs pending

Maass cusp forms for large eigenvalues

H. Then

arxiv:math-ph/0305047 v1 · 2003-05-23 · math-ph · math.MP · 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{52IS7IPKIXENSDLWUCZ4MKYZUT}

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	2026-05-18T00:45:30.852803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee912fa1ea45c8d90d76a0b3c62b19a4ea015a3d41b2473098b2fa89ad762f39

Aliases

arxiv: math-ph/0305047 · arxiv_version: math-ph/0305047v1 · doi: 10.48550/arxiv.math-ph/0305047 · pith_short_12: 52IS7IPKIXEN · pith_short_16: 52IS7IPKIXENSDLW · pith_short_8: 52IS7IPK

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/52IS7IPKIXENSDLWUCZ4MKYZUT \
  | 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: ee912fa1ea45c8d90d76a0b3c62b19a4ea015a3d41b2473098b2fa89ad762f39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21da4388a6da6aa9f14ed903f15ffef7d624614f71655f603b2cb30957dae3e5",
    "cross_cats_sorted": [
      "math.MP",
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-05-23T11:15:22Z",
    "title_canon_sha256": "4cec8bd1a8e21f06762f6578ac53bc437c204ae0c3a9431718de727710cb04cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0305047",
    "kind": "arxiv",
    "version": 1
  }
}