Pith Number

pith:5LNDOLOL

pith:2012:5LNDOLOLNXBENE5XFBPQIGUPXB

not attested not anchored not stored refs pending

Iwasawa theory of Heegner points on abelian varieties of GL_2 type

Benjamin Howard

arxiv:1202.6342 v1 · 2012-02-28 · 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{5LNDOLOLNXBENE5XFBPQIGUPXB}

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	2026-05-18T04:01:13.654732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eada372dcb6dc24693b7285f041a8fb86b1a89b5e296a9d2221f63a0eebd57c6

Aliases

arxiv: 1202.6342 · arxiv_version: 1202.6342v1 · doi: 10.48550/arxiv.1202.6342 · pith_short_12: 5LNDOLOLNXBE · pith_short_16: 5LNDOLOLNXBENE5X · pith_short_8: 5LNDOLOL

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/5LNDOLOLNXBENE5XFBPQIGUPXB \
  | 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: eada372dcb6dc24693b7285f041a8fb86b1a89b5e296a9d2221f63a0eebd57c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d44305f876bc3eb585e550f8428199d5865fa47b634d383c9177ede2ba2bc0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-28T20:09:40Z",
    "title_canon_sha256": "22fd431924ba223565a69826575d21e3df1b1110f4ad99827f4da151b67efd61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6342",
    "kind": "arxiv",
    "version": 1
  }
}