Pith Number

pith:ZUIXQUFI

pith:2012:ZUIXQUFI3VONTYMUPX64FD2A75

not attested not anchored not stored refs pending

Lattice methods for algebraic modular forms on classical groups

John Voight, Matthew Greenberg

arxiv:1209.2460 v1 · 2012-09-11 · 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{ZUIXQUFI3VONTYMUPX64FD2A75}

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	2026-05-18T03:45:43.074678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd117850a8dd5cd9e1947dfdc28f40ff7a8ed6c543a1f5b0c7ec53365d56756a

Aliases

arxiv: 1209.2460 · arxiv_version: 1209.2460v1 · doi: 10.48550/arxiv.1209.2460 · pith_short_12: ZUIXQUFI3VON · pith_short_16: ZUIXQUFI3VONTYMU · pith_short_8: ZUIXQUFI

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/ZUIXQUFI3VONTYMUPX64FD2A75 \
  | 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: cd117850a8dd5cd9e1947dfdc28f40ff7a8ed6c543a1f5b0c7ec53365d56756a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f42abf95aaa1049c1bc09e3c165f86cf2ff762deefef1ecc33ad2512d7b89d1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-11T23:34:58Z",
    "title_canon_sha256": "a0ba7fe98ef111cd309b64b7b77e40a30e85c3463afdeeab047d1c2d67a19b3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2460",
    "kind": "arxiv",
    "version": 1
  }
}