Pith Number

pith:BGLPPOTJ

pith:2011:BGLPPOTJJGXIX3I4PD7QDF774J

not attested not anchored not stored refs pending

Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization

Andrej Dujella, Filip Najman

arxiv:1201.0266 v1 · 2011-12-31 · 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{BGLPPOTJJGXIX3I4PD7QDF774J}

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	2026-05-18T02:51:15.307890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0996f7ba6949ae8bed1c78ff0197ffe2543cc2ac9183a41f78aea28933a01af3

Aliases

arxiv: 1201.0266 · arxiv_version: 1201.0266v1 · doi: 10.48550/arxiv.1201.0266 · pith_short_12: BGLPPOTJJGXI · pith_short_16: BGLPPOTJJGXIX3I4 · pith_short_8: BGLPPOTJ

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/BGLPPOTJJGXIX3I4PD7QDF774J \
  | 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: 0996f7ba6949ae8bed1c78ff0197ffe2543cc2ac9183a41f78aea28933a01af3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b19cc2d96cb14c1de29231f83f69e112da17241cb50c0e88c55c4bd13d38ce3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-31T14:20:58Z",
    "title_canon_sha256": "6b1548e5c0e02ca8476db5b2c649b788a42ceac325c07498ad4d962001729cb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0266",
    "kind": "arxiv",
    "version": 1
  }
}