Pith Number

pith:RHCAOBFY

pith:2013:RHCAOBFYT65YZZTPQVUGQ3MXPG

not attested not anchored not stored refs pending

The Shimura curve of discriminant 15 and topological automorphic forms

Tyler Lawson

arxiv:1301.3233 v3 · 2013-01-15 · math.AT · 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{RHCAOBFYT65YZZTPQVUGQ3MXPG}

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	2026-05-18T02:29:17.682835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89c40704b89fbb8ce66f8568686d9779a699cea9e318a918984e03667fca2881

Aliases

arxiv: 1301.3233 · arxiv_version: 1301.3233v3 · doi: 10.48550/arxiv.1301.3233 · pith_short_12: RHCAOBFYT65Y · pith_short_16: RHCAOBFYT65YZZTP · pith_short_8: RHCAOBFY

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/RHCAOBFYT65YZZTPQVUGQ3MXPG \
  | 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: 89c40704b89fbb8ce66f8568686d9779a699cea9e318a918984e03667fca2881

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cb2beafa64089c8ca81fd29ffcd1f47a8be3fde70711607f2ebcad504c18ccd",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-01-15T06:24:44Z",
    "title_canon_sha256": "5baef9773705ceb7b2e181f2a3f5bf71cb6008ef7b98baa35a372be51d4c5a8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3233",
    "kind": "arxiv",
    "version": 3
  }
}