Pith Number

pith:2ZNYT5GL

pith:2020:2ZNYT5GLRGMBCTLB62RJB4NSB2

not attested not anchored not stored refs pending

Iwasawa theory for quadratic Hilbert modular forms

David Loeffler, Sarah Livia Zerbes

arxiv:2006.14491 v2 · 2020-06-25 · 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{2ZNYT5GLRGMBCTLB62RJB4NSB2}

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

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields

Receipt and verification

First computed	2026-07-05T10:15:40.009208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d65b89f4cb8998114d61f6a290f1b20e83fc0790e6b8e16aefd456e9d258ffc7

Aliases

arxiv: 2006.14491 · arxiv_version: 2006.14491v2 · doi: 10.48550/arxiv.2006.14491 · pith_short_12: 2ZNYT5GLRGMB · pith_short_16: 2ZNYT5GLRGMBCTLB · pith_short_8: 2ZNYT5GL

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/2ZNYT5GLRGMBCTLB62RJB4NSB2 \
  | 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: d65b89f4cb8998114d61f6a290f1b20e83fc0790e6b8e16aefd456e9d258ffc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4f2e9bcee7505b1ba2e1674b81e40acc057bfd59f212c0988e55f4df4141144",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-06-25T15:38:43Z",
    "title_canon_sha256": "e62f0d4cb498b290a9b8bf9193a8a892978bdaa4547523045098825f7125101d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.14491",
    "kind": "arxiv",
    "version": 2
  }
}