Pith Number

pith:2RYLR372

pith:2024:2RYLR372G6HLI6QTQH4BH376WB

not attested not anchored not stored refs pending

On $L$-functions of Hecke characters and anticyclotomic towers

Haijun Jia

arxiv:2412.05867 v1 · 2024-12-08 · 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{2RYLR372G6HLI6QTQH4BH376WB}

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

Anticyclotomic Iwasawa theory of CM elliptic curves at ramified primes

Receipt and verification

First computed	2026-07-05T09:46:10.902931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d470b8effa378eb47a1381f813effeb06145bde18d1dad029e2a2838cc6ba200

Aliases

arxiv: 2412.05867 · arxiv_version: 2412.05867v1 · doi: 10.48550/arxiv.2412.05867 · pith_short_12: 2RYLR372G6HL · pith_short_16: 2RYLR372G6HLI6QT · pith_short_8: 2RYLR372

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/2RYLR372G6HLI6QTQH4BH376WB \
  | 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: d470b8effa378eb47a1381f813effeb06145bde18d1dad029e2a2838cc6ba200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63bd797a9c3e345027feb92db6809b6fd267a0244ccc93bb0db7d0cb91c88505",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-08T09:15:17Z",
    "title_canon_sha256": "06bc7c92069bee75f1a4ebc3fd773cc385582b04de75a1a4feaa5cc6cb55ccb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.05867",
    "kind": "arxiv",
    "version": 1
  }
}