Pith Number

pith:RXEOZXAC

pith:2011:RXEOZXAC5NICRBVH2PR4NSUVKV

not attested not anchored not stored refs pending

Nontorsion Points of Low Height on Elliptic Curves over Quadratic Fields

Graeme Taylor

arxiv:1111.2475 v1 · 2011-11-10 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RXEOZXAC5NICRBVH2PR4NSUVKV}

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	2026-05-18T04:08:34.052429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dc8ecdc02eb502886a7d3e3c6ca955570b5af58942d9fa70e951cf9b58093b6

Aliases

arxiv: 1111.2475 · arxiv_version: 1111.2475v1 · doi: 10.48550/arxiv.1111.2475 · pith_short_12: RXEOZXAC5NIC · pith_short_16: RXEOZXAC5NICRBVH · pith_short_8: RXEOZXAC

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/RXEOZXAC5NICRBVH2PR4NSUVKV \
  | 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: 8dc8ecdc02eb502886a7d3e3c6ca955570b5af58942d9fa70e951cf9b58093b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d84422b6b96cb4a99e987e88e1ea3d076b8f813abcb00e1792d28e4695a0805",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-10T13:54:19Z",
    "title_canon_sha256": "9c91406eb8472aef919ad1313dd63abad7ce6f8fbe7d5214a0ed0af057692bd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2475",
    "kind": "arxiv",
    "version": 1
  }
}