Pith Number

pith:GFW7QDSG

pith:2014:GFW7QDSGV6WAY6ACL7XQ656HF3

not attested not anchored not stored refs pending

P-adic heights and p-adic Hodge theory

Denis Benois

arxiv:1412.7305 v1 · 2014-12-23 · 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{GFW7QDSGV6WAY6ACL7XQ656HF3}

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	2026-05-18T02:30:39.169657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

316df80e46afac0c78025fef0f77c72ed444e3b18850a072957be3b05f5034d1

Aliases

arxiv: 1412.7305 · arxiv_version: 1412.7305v1 · doi: 10.48550/arxiv.1412.7305 · pith_short_12: GFW7QDSGV6WA · pith_short_16: GFW7QDSGV6WAY6AC · pith_short_8: GFW7QDSG

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/GFW7QDSGV6WAY6ACL7XQ656HF3 \
  | 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: 316df80e46afac0c78025fef0f77c72ed444e3b18850a072957be3b05f5034d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcd808cff0230f2f8613f60da0f76e52dedf57daac8a27eeee12f64f3e1bfa31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-23T10:15:27Z",
    "title_canon_sha256": "151a127295cac9aa1fdb4c216d98837ff3da6519f57594fe60ab4784d7f12217"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7305",
    "kind": "arxiv",
    "version": 1
  }
}