Pith Number

pith:VJP2225I

pith:2025:VJP2225IXSVS6CCGZPVJEFIDRS

not attested not anchored not stored refs pending

A $p$-adic Gross-Zagier formula for twisted triple product $p$-adic $L$-functions attached to finite slope families

Ananyo Kazi, Ting-Han Huang

arxiv:2501.17474 v1 · 2025-01-29 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJP2225IXSVS6CCGZPVJEFIDRS}

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	2026-07-05T10:06:53.453004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa5fad6ba8bcab2f0846cbea9215038cb49b8e40a2832cdb46f229842ec66abe

Aliases

arxiv: 2501.17474 · arxiv_version: 2501.17474v1 · doi: 10.48550/arxiv.2501.17474 · pith_short_12: VJP2225IXSVS · pith_short_16: VJP2225IXSVS6CCG · pith_short_8: VJP2225I

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/VJP2225IXSVS6CCGZPVJEFIDRS \
  | 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: aa5fad6ba8bcab2f0846cbea9215038cb49b8e40a2832cdb46f229842ec66abe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d60b3272683c5a57b4c058e17f68f894efb5960c30cff5764091b6396860d34f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-29T08:35:40Z",
    "title_canon_sha256": "3d53ddfbbf5b705fde816efbec54cb8359c2af284bfecb1f41d498f2c64cbe95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.17474",
    "kind": "arxiv",
    "version": 1
  }
}