Pith Number

pith:FCXTOVJK

pith:2024:FCXTOVJKPENPHAE6WYSHIWQHTV

not attested not anchored not stored refs pending

Quadratic twists of tiling number elliptic curves

Jinzhao Pan, Keqin Feng, Qiuyue Liu, Ye Tian

arxiv:2405.11132 v1 · 2024-05-18 · 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{FCXTOVJKPENPHAE6WYSHIWQHTV}

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	2026-07-05T08:20:33.732424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28af37552a791af3809eb624745a079d4320a3cc17b4098087bfcea45a8dde0f

Aliases

arxiv: 2405.11132 · arxiv_version: 2405.11132v1 · doi: 10.48550/arxiv.2405.11132 · pith_short_12: FCXTOVJKPENP · pith_short_16: FCXTOVJKPENPHAE6 · pith_short_8: FCXTOVJK

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/FCXTOVJKPENPHAE6WYSHIWQHTV \
  | 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: 28af37552a791af3809eb624745a079d4320a3cc17b4098087bfcea45a8dde0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "566dc46db069cbc17d0909a4eca42dae44d944ca46590374fbd758c370983ddc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-05-18T01:08:36Z",
    "title_canon_sha256": "58b9b9f85669386d605ecdedb2fe724481a5c533e38d3c1b45359f5a2f558e08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.11132",
    "kind": "arxiv",
    "version": 1
  }
}