Pith Number

pith:OOZBVCEI

pith:2023:OOZBVCEIY7TVSF6CQFT3JYMLQF

not attested not anchored not stored refs pending

Formalization of $p$-adic $L$-functions in Lean 3

Ashvni Narayanan

arxiv:2302.14491 v1 · 2023-02-28 · math.NT · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOZBVCEIY7TVSF6CQFT3JYMLQF}

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	2026-07-05T05:46:45.905845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73b21a8888c7e75917c28167b4e18b814818126ce009272f3e972467e2557b43

Aliases

arxiv: 2302.14491 · arxiv_version: 2302.14491v1 · doi: 10.48550/arxiv.2302.14491 · pith_short_12: OOZBVCEIY7TV · pith_short_16: OOZBVCEIY7TVSF6C · pith_short_8: OOZBVCEI

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/OOZBVCEIY7TVSF6CQFT3JYMLQF \
  | 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: 73b21a8888c7e75917c28167b4e18b814818126ce009272f3e972467e2557b43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aa9aed0676807acd286bb4220b32e0d29a375fb94cded7f6a6650c6a6cacd13",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-02-28T11:19:22Z",
    "title_canon_sha256": "dfb1111c82e3acf5c778a474bbef595f621eb5f347dde40257e4f550365f7267"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.14491",
    "kind": "arxiv",
    "version": 1
  }
}