Pith Number

pith:7HESPKH4

pith:2012:7HESPKH43TYSESEES664Q4S7CI

not attested not anchored not stored refs pending

Arithmeticity for periods of automorphic forms

A. Raghuram, Wee Teck Gan

arxiv:1207.4641 v2 · 2012-07-19 · 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{7HESPKH43TYSESEES664Q4S7CI}

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	2026-05-18T03:40:02.864489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9c927a8fcdcf122488497bdc8725f122caed05f0fa7aa8ac56f780217fc5b85

Aliases

arxiv: 1207.4641 · arxiv_version: 1207.4641v2 · doi: 10.48550/arxiv.1207.4641 · pith_short_12: 7HESPKH43TYS · pith_short_16: 7HESPKH43TYSESEE · pith_short_8: 7HESPKH4

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/7HESPKH43TYSESEES664Q4S7CI \
  | 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: f9c927a8fcdcf122488497bdc8725f122caed05f0fa7aa8ac56f780217fc5b85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b39aaceafb35add5ae09f1b4bff92e4a311757f32c71034b233f5fb5d8bc980",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-19T12:37:07Z",
    "title_canon_sha256": "83515184f83ecc25de96c4f319c92ababa9a664cc72287b1bcfd17394ee1b03d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4641",
    "kind": "arxiv",
    "version": 2
  }
}