Pith Number

pith:LEJBKKZP

pith:2019:LEJBKKZPXGEVXJU652DLFJ7E4Q

not attested not anchored not stored refs pending

Heegner points in Coleman families

David Loeffler, Dimitar Jetchev, Sarah Livia Zerbes

arxiv:1906.09196 v2 · 2019-06-21 · 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{LEJBKKZPXGEVXJU652DLFJ7E4Q}

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.

Cited by

1 paper in Pith

A proof of $p$-adic Gross--Zagier theorem via BDP formula

Receipt and verification

First computed	2026-07-05T02:09:34.838930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5912152b2fb9895ba69eee86b2a7e4e42915d72f0e2a1c7bfa5da22eecb2a9fa

Aliases

arxiv: 1906.09196 · arxiv_version: 1906.09196v2 · doi: 10.48550/arxiv.1906.09196 · pith_short_12: LEJBKKZPXGEV · pith_short_16: LEJBKKZPXGEVXJU6 · pith_short_8: LEJBKKZP

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/LEJBKKZPXGEVXJU652DLFJ7E4Q \
  | 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: 5912152b2fb9895ba69eee86b2a7e4e42915d72f0e2a1c7bfa5da22eecb2a9fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f505f281e70e931ad2827fc206f319687aad696eca7c07a630125688c488b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-21T15:34:52Z",
    "title_canon_sha256": "1808afcf403b411f94d2d917c47824913ffd15cbb4e1c0802aef176cd9642d79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09196",
    "kind": "arxiv",
    "version": 2
  }
}