Pith Number

pith:V5KDNQGE

pith:2014:V5KDNQGEVBM4ACMTBSDNYTCONH

not attested not anchored not stored refs pending

There are genus one curves of every index over every infinite, finitely generated field

Allan Lacy, Pete L. Clark

arxiv:1405.2108 v1 · 2014-05-08 · 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{V5KDNQGEVBM4ACMTBSDNYTCONH}

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	2026-05-18T02:52:13.654920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af5436c0c4a859c009930c86dc4c4e69f88ea20c9463e1819b2fd62ef51852a0

Aliases

arxiv: 1405.2108 · arxiv_version: 1405.2108v1 · doi: 10.48550/arxiv.1405.2108 · pith_short_12: V5KDNQGEVBM4 · pith_short_16: V5KDNQGEVBM4ACMT · pith_short_8: V5KDNQGE

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/V5KDNQGEVBM4ACMTBSDNYTCONH \
  | 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: af5436c0c4a859c009930c86dc4c4e69f88ea20c9463e1819b2fd62ef51852a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7afb2654834ffc972e30ab41e2541bd769593d8871dbce130ec823f273c65ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-08T21:58:36Z",
    "title_canon_sha256": "81061f6fab3ea2f4c8961d9cd76f2855c1f96d87e1822707feea9336bd417dc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2108",
    "kind": "arxiv",
    "version": 1
  }
}