Pith Number

pith:WVSCG5JG

pith:2013:WVSCG5JGOFEK7RZWYP2LLGK2QN

not attested not anchored not stored refs pending

Automorphic forms for triangle groups

Charles F. Doran, Hossein Movasati, Khosro Monsef Shokri, Terry Gannon

arxiv:1307.4372 v1 · 2013-07-16 · math.NT · hep-th · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WVSCG5JGOFEK7RZWYP2LLGK2QN}

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	2026-05-18T03:18:19.027951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5642375267148afc736c3f4b5995a837b7366641705c6b9633f7c7de7d2345b

Aliases

arxiv: 1307.4372 · arxiv_version: 1307.4372v1 · doi: 10.48550/arxiv.1307.4372 · pith_short_12: WVSCG5JGOFEK · pith_short_16: WVSCG5JGOFEK7RZW · pith_short_8: WVSCG5JG

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/WVSCG5JGOFEK7RZWYP2LLGK2QN \
  | 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: b5642375267148afc736c3f4b5995a837b7366641705c6b9633f7c7de7d2345b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3087c46fa649102969db9399bf0ea4054aa577d390331aebdb2e790d05bd6efd",
    "cross_cats_sorted": [
      "hep-th",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-16T18:43:21Z",
    "title_canon_sha256": "879ff8f336e423ccf4a84eadab351ebccc9e6fb74fad87c1553e8ac74cadfe9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4372",
    "kind": "arxiv",
    "version": 1
  }
}