Pith Number

pith:IND7FFI6

pith:2026:IND7FFI633EAGA6KUMKCCIG4DE

not attested not anchored not stored refs pending

Anticyclotomic Iwasawa theory of CM elliptic curves at ramified primes

Ashay Burungale, Kazuto Ota, Kentaro Nakamura, Shinichi Kobayashi

arxiv:2608.06879 v1 · 2026-08-07 · 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{IND7FFI633EAGA6KUMKCCIG4DE}

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	2026-08-10T01:12:23.453057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4347f2951edec80303caa3142120dc19011c848ed9ed81cadf6a6a1ab1bea3f4

Aliases

arxiv: 2608.06879 · arxiv_version: 2608.06879v1 · doi: 10.48550/arxiv.2608.06879 · pith_short_12: IND7FFI633EA · pith_short_16: IND7FFI633EAGA6K · pith_short_8: IND7FFI6

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/IND7FFI633EAGA6KUMKCCIG4DE \
  | 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: 4347f2951edec80303caa3142120dc19011c848ed9ed81cadf6a6a1ab1bea3f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "492faa32c632010ae8110153db425136eff73352d1fdc7575005ead566cceecf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-07T07:05:45Z",
    "title_canon_sha256": "1c526833c12b0bcf082ec469503dac0fbd644ddac4d550b441b19f659ca8da3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06879",
    "kind": "arxiv",
    "version": 1
  }
}