Pith Number

pith:BNKGLCZV

pith:2012:BNKGLCZVRVRMFQZ4QJC3T4B55A

not attested not anchored not stored refs pending

Large values of modular forms

Nicolas Templier

arxiv:1207.6134 v4 · 2012-07-25 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNKGLCZVRVRMFQZ4QJC3T4B55A}

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	2026-05-18T03:12:48.524275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b54658b358d62c2c33c8245b9f03de81bcc9d29515673636e861a758321bba9

Aliases

arxiv: 1207.6134 · arxiv_version: 1207.6134v4 · doi: 10.48550/arxiv.1207.6134 · pith_short_12: BNKGLCZVRVRM · pith_short_16: BNKGLCZVRVRMFQZ4 · pith_short_8: BNKGLCZV

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/BNKGLCZVRVRMFQZ4QJC3T4B55A \
  | 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: 0b54658b358d62c2c33c8245b9f03de81bcc9d29515673636e861a758321bba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d130f1a8007abe2ff41df7b29a8b0826bb92d6a43b8682dd29a26bd800b5d957",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-25T21:20:38Z",
    "title_canon_sha256": "f6da6c61f6b3d33c60992b33da69dc3da0cd5ee4c0507ddc42f36c34b9332f24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6134",
    "kind": "arxiv",
    "version": 4
  }
}