Pith Number

pith:TGH2Z5VB

pith:2017:TGH2Z5VB5W3ARFSNVOVYECA2AB

not attested not anchored not stored refs pending

A variant of a theorem by Ailon-Rudnick for elliptic curves

Dragos Ghioca, Liang-Chung Hsia, Thomas J. Tucker

arxiv:1703.01343 v1 · 2017-03-03 · math.NT · math.AG · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGH2Z5VB5W3ARFSNVOVYECA2AB}

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	2026-05-18T00:49:31.037062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998facf6a1edb608964dabab82081a00778dca5acde28d1a3e18964022e34651

Aliases

arxiv: 1703.01343 · arxiv_version: 1703.01343v1 · doi: 10.48550/arxiv.1703.01343 · pith_short_12: TGH2Z5VB5W3A · pith_short_16: TGH2Z5VB5W3ARFSN · pith_short_8: TGH2Z5VB

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/TGH2Z5VB5W3ARFSNVOVYECA2AB \
  | 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: 998facf6a1edb608964dabab82081a00778dca5acde28d1a3e18964022e34651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "650ada7601cde8c55ee38490987d342918340f73b02f04a94c1ba1395bb19861",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-03T21:25:49Z",
    "title_canon_sha256": "c3382c6facb7dbadd9ca09d210bc6e4f49d509ff4958c3ad69d8f6efe3fc941f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01343",
    "kind": "arxiv",
    "version": 1
  }
}