Pith Number

pith:LVQJXHJD

pith:2012:LVQJXHJDSKQGTSUXIM7H7TTSNR

not attested not anchored not stored refs pending

Factoring integer using elliptic curves over rational number field $\mathbb{Q}$

Jinxiang Zeng, Xiumei Li

arxiv:1207.0274 v3 · 2012-07-02 · 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{LVQJXHJDSKQGTSUXIM7H7TTSNR}

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	2026-05-18T02:25:10.717008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d609b9d2392a069ca97433e7fce726c78027afa194d8323f271d843792d56b6

Aliases

arxiv: 1207.0274 · arxiv_version: 1207.0274v3 · doi: 10.48550/arxiv.1207.0274 · pith_short_12: LVQJXHJDSKQG · pith_short_16: LVQJXHJDSKQGTSUX · pith_short_8: LVQJXHJD

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/LVQJXHJDSKQGTSUXIM7H7TTSNR \
  | 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: 5d609b9d2392a069ca97433e7fce726c78027afa194d8323f271d843792d56b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37410db386e6d7ec6ae2f52f7765a3012bd2dd76a0e9364be85522d37e553e54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-02T03:44:22Z",
    "title_canon_sha256": "494761280e3ceefae96e41c4aa9693604747668e26c094d7df6234cd068eb6c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0274",
    "kind": "arxiv",
    "version": 3
  }
}