Pith Number

pith:ZNZ45U5H

pith:2024:ZNZ45U5HVTXAWBJWTSNLB2MFUR

not attested not anchored not stored refs pending

Zeta elements for elliptic curves and applications

Ashay Burungale, Christopher Skinner, Xin Wan, Ye Tian

arxiv:2409.01350 v2 · 2024-09-02 · 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{ZNZ45U5HVTXAWBJWTSNLB2MFUR}

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

2 papers in Pith

On $p$-adic $L$-functions of elliptic curves and the ideal class groups of the division fields

A refined non-vanishing of the $p$-adic logarithm of a rational point on an abelian variety

Receipt and verification

First computed	2026-07-05T09:06:08.944803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb73ced3a7acee0b05369c9ab0e985a4653398550af5bf9f7720e3cd9a571837

Aliases

arxiv: 2409.01350 · arxiv_version: 2409.01350v2 · doi: 10.48550/arxiv.2409.01350 · pith_short_12: ZNZ45U5HVTXA · pith_short_16: ZNZ45U5HVTXAWBJW · pith_short_8: ZNZ45U5H

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/ZNZ45U5HVTXAWBJWTSNLB2MFUR \
  | 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: cb73ced3a7acee0b05369c9ab0e985a4653398550af5bf9f7720e3cd9a571837

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a49c22340a57bf5adcb8921d91d0830b89e112684a2c6c21403c2ece8d5130a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-02T16:10:11Z",
    "title_canon_sha256": "58e21791cf8cbd27d10115fe553357f46dd6f525425cef90d31ce07e3e009bbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.01350",
    "kind": "arxiv",
    "version": 2
  }
}