Pith Number

pith:KDN44DPG

pith:2025:KDN44DPGTIAXXHJPBFUH2ZHX2X

not attested not anchored not stored refs pending

$p$-adic Asai and twisted triple product $L$-functions for finite slope families

Ananyo Kazi, David Loeffler

arxiv:2504.12066 v2 · 2025-04-16 · 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{KDN44DPGTIAXXHJPBFUH2ZHX2X}

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	2026-07-05T10:56:39.112471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50dbce0de69a017b9d2f09687d64f7d5dcb98891794b919fc97a71bfe20f6df0

Aliases

arxiv: 2504.12066 · arxiv_version: 2504.12066v2 · doi: 10.48550/arxiv.2504.12066 · pith_short_12: KDN44DPGTIAX · pith_short_16: KDN44DPGTIAXXHJP · pith_short_8: KDN44DPG

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/KDN44DPGTIAXXHJPBFUH2ZHX2X \
  | 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: 50dbce0de69a017b9d2f09687d64f7d5dcb98891794b919fc97a71bfe20f6df0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4529b9a3d7eaaf82af7539f2280b21c2c9f6763ba6675b2d748df23fdf99022",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-16T13:20:43Z",
    "title_canon_sha256": "211707615d53be1df4be4d9e9ba657ca0ad723ef5e440dbd7cbbb8194bb92fca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.12066",
    "kind": "arxiv",
    "version": 2
  }
}