Pith Number

pith:7JHKOFWB

pith:2024:7JHKOFWBWBADYFLZB3BNV6XJUG

not attested not anchored not stored refs pending

Arithmetic of critical $p$-adic $L$-functions

Denis Benois, K\^az{\i}m B\"uy\"ukboduk

arxiv:2403.16076 v1 · 2024-03-24 · 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{7JHKOFWBWBADYFLZB3BNV6XJUG}

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	2026-07-05T08:00:10.211539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa4ea716c1b0403c15790ec2dafae9a1a37ae2f4d49cb93f62c163d3695d18ef

Aliases

arxiv: 2403.16076 · arxiv_version: 2403.16076v1 · doi: 10.48550/arxiv.2403.16076 · pith_short_12: 7JHKOFWBWBAD · pith_short_16: 7JHKOFWBWBADYFLZ · pith_short_8: 7JHKOFWB

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/7JHKOFWBWBADYFLZB3BNV6XJUG \
  | 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: fa4ea716c1b0403c15790ec2dafae9a1a37ae2f4d49cb93f62c163d3695d18ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f67227b059236199cdd574528906109e35488b33e0dfaa32c46fb7ab6f33580c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-03-24T09:33:54Z",
    "title_canon_sha256": "19da462b6ec1e5bf740c52ed91860d26d79de94227f4ed2ecb44e48c396c8c54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.16076",
    "kind": "arxiv",
    "version": 1
  }
}