Pith Number

pith:BA465EC6

pith:2018:BA465EC6J7NXKVYUBLRGPEIIUW

not attested not anchored not stored refs pending

Elliptic surfaces over $\mathbb{P}^1$ and large class groups of number fields

Aaron Levin, Jean Gillibert

arxiv:1811.08166 v2 · 2018-11-20 · 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{BA465EC6J7NXKVYUBLRGPEIIUW}

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	2026-05-17T23:45:57.905288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0839ee905e4fdb7557140ae2679108a5a152d9595497c67c5802b48a5c85c96b

Aliases

arxiv: 1811.08166 · arxiv_version: 1811.08166v2 · doi: 10.48550/arxiv.1811.08166 · pith_short_12: BA465EC6J7NX · pith_short_16: BA465EC6J7NXKVYU · pith_short_8: BA465EC6

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/BA465EC6J7NXKVYUBLRGPEIIUW \
  | 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: 0839ee905e4fdb7557140ae2679108a5a152d9595497c67c5802b48a5c85c96b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63f2ea06a13706bad4fc1a4ad9c1f077cefb80a38c0b832f9a54aca964f9f6bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-20T10:27:12Z",
    "title_canon_sha256": "6b5587ba80351ba6f6624aa3913ecbe8f321f3b497231bf5b98dd83b44e1390b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08166",
    "kind": "arxiv",
    "version": 2
  }
}