Pith Number

pith:WO5PFU4R

pith:2016:WO5PFU4RQ6G4XXZ3GIV66PAESA

not attested not anchored not stored refs pending

$p$-adic Gross-Zagier Formula for Heegner Points on Shimura Curves over Totally Real Fields

Li Ma

arxiv:1601.06996 v1 · 2016-01-26 · 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{WO5PFU4RQ6G4XXZ3GIV66PAESA}

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	2026-05-18T01:21:59.360777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3baf2d391878dcbdf3b322bef3c0490339c34a5df5f85b5d3e2da8c91eba51e

Aliases

arxiv: 1601.06996 · arxiv_version: 1601.06996v1 · doi: 10.48550/arxiv.1601.06996 · pith_short_12: WO5PFU4RQ6G4 · pith_short_16: WO5PFU4RQ6G4XXZ3 · pith_short_8: WO5PFU4R

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/WO5PFU4RQ6G4XXZ3GIV66PAESA \
  | 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: b3baf2d391878dcbdf3b322bef3c0490339c34a5df5f85b5d3e2da8c91eba51e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcccd7e8c4796ffc123e9bb18edb52f1b690922f3a32214f508125511d27690a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-26T12:43:30Z",
    "title_canon_sha256": "deff8e7e576e7b679056ec387d1b42bde5a32c688ad277c695202c812f50bf31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06996",
    "kind": "arxiv",
    "version": 1
  }
}