Pith Number

pith:LWCC4MLN

pith:2016:LWCC4MLN5BNCRZ6GP5D2QECRY2

not attested not anchored not stored refs pending

Heegner Points on Modular Curves

Li Cai, Yihua Chen, Yu Liu

arxiv:1601.04415 v1 · 2016-01-18 · 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{LWCC4MLN5BNCRZ6GP5D2QECRY2}

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	2026-05-18T01:22:45.100600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d842e316de85a28e7c67f47a81051c68632791d196e49aa1f25a8fc3d25edb5

Aliases

arxiv: 1601.04415 · arxiv_version: 1601.04415v1 · doi: 10.48550/arxiv.1601.04415 · pith_short_12: LWCC4MLN5BNC · pith_short_16: LWCC4MLN5BNCRZ6G · pith_short_8: LWCC4MLN

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/LWCC4MLN5BNCRZ6GP5D2QECRY2 \
  | 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: 5d842e316de85a28e7c67f47a81051c68632791d196e49aa1f25a8fc3d25edb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89d9b396e27bcc0de7ea8a37be718d8d303f618b977b0be4cb3cea45a47a0a3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-18T07:21:18Z",
    "title_canon_sha256": "33239aaf3af496af943bd7e8aa6a3421e1bd58232f5002d9cad07b35a602b1ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04415",
    "kind": "arxiv",
    "version": 1
  }
}