Pith Number

pith:WNUVY4AP

pith:2023:WNUVY4APR5KE55SSSNDPJOMKZX

not attested not anchored not stored refs pending

The algebra $\mathbb{Z}_\ell[[\mathbb{Z}_p^d]]$ and applications to Iwasawa theory

Andrea Bandini, Ignazio Longhi

arxiv:2312.04666 v3 · 2023-12-07 · 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{WNUVY4APR5KE55SSSNDPJOMKZX}

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	2026-06-23T01:12:43.892932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3695c700f8f544ef6529346f4b98acdd7dc91d171b99be2fc45b2391fbde4aa

Aliases

arxiv: 2312.04666 · arxiv_version: 2312.04666v3 · doi: 10.48550/arxiv.2312.04666 · pith_short_12: WNUVY4APR5KE · pith_short_16: WNUVY4APR5KE55SS · pith_short_8: WNUVY4AP

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/WNUVY4APR5KE55SSSNDPJOMKZX \
  | 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: b3695c700f8f544ef6529346f4b98acdd7dc91d171b99be2fc45b2391fbde4aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa3cec1cbc9a7b5260a1985ff2ff57bec52a619838f55ab0aa162cabd3771e7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-12-07T19:57:58Z",
    "title_canon_sha256": "3c3d7cce571fd96e285980a7eab7690fcefcc11f8ff38b7de68c3e5688753c1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.04666",
    "kind": "arxiv",
    "version": 3
  }
}