Pith Number

pith:YBQPNJBS

pith:2012:YBQPNJBSC3F7MVSHJTQZRSRBLI

not attested not anchored not stored refs pending

Heegner points and Jochnowitz congruences on Shimura curves

Stefano Vigni

arxiv:1204.0496 v1 · 2012-04-02 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBQPNJBSC3F7MVSHJTQZRSRBLI}

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	2026-05-18T03:58:49.023545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c060f6a43216cbf656474ce198ca215a1e2b46faf67b71ae44ddfc88eba55098

Aliases

arxiv: 1204.0496 · arxiv_version: 1204.0496v1 · doi: 10.48550/arxiv.1204.0496 · pith_short_12: YBQPNJBSC3F7 · pith_short_16: YBQPNJBSC3F7MVSH · pith_short_8: YBQPNJBS

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/YBQPNJBSC3F7MVSHJTQZRSRBLI \
  | 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: c060f6a43216cbf656474ce198ca215a1e2b46faf67b71ae44ddfc88eba55098

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b68cae821eea0465be8ec799f5c5f7007fe7a2bcb63a260e0e7a4077a340d9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-02T18:50:42Z",
    "title_canon_sha256": "f511f5fed3de513d53dd26267cc393fde5cc21ecde1deb0622dd5454d123f19e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0496",
    "kind": "arxiv",
    "version": 1
  }
}