Pith Number

pith:GCJZR7JI

pith:2023:GCJZR7JIUV72HS7FNQN5RMWG5P

not attested not anchored not stored refs pending

On the Artin formalism for triple product $p$-adic $L$-functions: Super-factorization

Daniele Casazza, K\^az{\i}m B\"uy\"ukboduk

arxiv:2301.08383 v2 · 2023-01-20 · 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{GCJZR7JIUV72HS7FNQN5RMWG5P}

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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	2026-07-05T10:00:32.389429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

309398fd28a57fa3cbe56c1bd8b2c6ebe857d7eadb00b12d70886aa7eab04c90

Aliases

arxiv: 2301.08383 · arxiv_version: 2301.08383v2 · doi: 10.48550/arxiv.2301.08383 · pith_short_12: GCJZR7JIUV72 · pith_short_16: GCJZR7JIUV72HS7F · pith_short_8: GCJZR7JI

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/GCJZR7JIUV72HS7FNQN5RMWG5P \
  | 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: 309398fd28a57fa3cbe56c1bd8b2c6ebe857d7eadb00b12d70886aa7eab04c90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c12650fd7bde42af76f8f481f6a1c79927fb341ad1bcd3aa53b3e28e67e9db2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-01-20T01:37:43Z",
    "title_canon_sha256": "c4bb3c2b4ea97f3bdf09eb3442dae76b75d47667d658dab9b65d4c2478843adb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.08383",
    "kind": "arxiv",
    "version": 2
  }
}