Pith Number

pith:YXTZDYPJ

pith:2024:YXTZDYPJNQGRLXZYVBDDINCGDG

not attested not anchored not stored refs pending

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions

K\^az{\i}m B\"uy\"ukboduk, Manisha Ganguly

arxiv:2412.11147 v1 · 2024-12-15 · 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{YXTZDYPJNQGRLXZYVBDDINCGDG}

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	2026-07-05T09:49:28.150631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5e791e1e96c0d15df38a84634344619a25e38acca1decf13de68c5cb942d50c

Aliases

arxiv: 2412.11147 · arxiv_version: 2412.11147v1 · doi: 10.48550/arxiv.2412.11147 · pith_short_12: YXTZDYPJNQGR · pith_short_16: YXTZDYPJNQGRLXZY · pith_short_8: YXTZDYPJ

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/YXTZDYPJNQGRLXZYVBDDINCGDG \
  | 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: c5e791e1e96c0d15df38a84634344619a25e38acca1decf13de68c5cb942d50c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd6893a0e8f7d89caaca3b4e0c3a94e333a9f79732080ed67f037cd7b200b97d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-15T10:41:43Z",
    "title_canon_sha256": "48be0c4c26f67518ca7cf5d5da0e7bb22adab08dc0d1da403442f96a86f06c0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11147",
    "kind": "arxiv",
    "version": 1
  }
}