Pith Number

pith:MNI6GAY5

pith:2018:MNI6GAY557DRYENINONYRIOQYK

not attested not anchored not stored refs pending

$p$-adic Gross-Zagier formula at critical slope and a conjecture of Perrin-Riou

Kazim B\"uy\"ukboduk, Robert Pollack, Shu Sasaki

arxiv:1811.08216 v4 · 2018-11-20 · math.NT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNI6GAY557DRYENINONYRIOQYK}

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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	2026-07-05T03:21:36.133000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6351e3031defc71c11a86b9b88a1d0c28de5c0c44b07d075dbfa0ff5d0db1310

Aliases

arxiv: 1811.08216 · arxiv_version: 1811.08216v4 · doi: 10.48550/arxiv.1811.08216 · pith_short_12: MNI6GAY557DR · pith_short_16: MNI6GAY557DRYENI · pith_short_8: MNI6GAY5

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/MNI6GAY557DRYENINONYRIOQYK \
  | 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: 6351e3031defc71c11a86b9b88a1d0c28de5c0c44b07d075dbfa0ff5d0db1310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55566b0dfb7413894805b611c5ee2d18b5768f849048aaf6f7196a6e17c04db1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-20T12:44:11Z",
    "title_canon_sha256": "4576d8e418a9f4664dff1729852ac080b1953d80b18b4533af0fb1d11aaf404b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08216",
    "kind": "arxiv",
    "version": 4
  }
}