Pith Number

pith:JBMBSBGA

pith:2025:JBMBSBGA6OCM5AGYSEEZ3JWXSO

not attested not anchored not stored refs pending

A local sign decomposition for symplectic self-dual Galois representations of rank two

Ashay Burungale, Kazuto Ota, Kentaro Nakamura, Shinichi Kobayashi

arxiv:2508.17776 v1 · 2025-08-25 · 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{JBMBSBGA6OCM5AGYSEEZ3JWXSO}

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	2026-07-05T11:58:47.572511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48581904c0f384ce80d891099da6d7939f42e9610e36befb05d0f5edd3a1da63

Aliases

arxiv: 2508.17776 · arxiv_version: 2508.17776v1 · doi: 10.48550/arxiv.2508.17776 · pith_short_12: JBMBSBGA6OCM · pith_short_16: JBMBSBGA6OCM5AGY · pith_short_8: JBMBSBGA

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/JBMBSBGA6OCM5AGYSEEZ3JWXSO \
  | 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: 48581904c0f384ce80d891099da6d7939f42e9610e36befb05d0f5edd3a1da63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1d0e809838ff802b8f0deb9699d35cfa98d3526ea95f5c7564a1024bcd4fe1f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-25T08:16:55Z",
    "title_canon_sha256": "30f6e12e6d7a10b6e45bec02f00d95a751dce0cc33aa253fcd74fd0251c4ce52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.17776",
    "kind": "arxiv",
    "version": 1
  }
}