Pith Number

pith:XYOU2VWV

pith:2023:XYOU2VWV4A3WI72FQU24EMDLYF

not attested not anchored not stored refs pending

Root numbers and parity phenomena

Lilybelle Cowland Kellock, Vladimir Dokchitser

arxiv:2303.07883 v1 · 2023-03-14 · 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{XYOU2VWV4A3WI72FQU24EMDLYF}

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.

Cited by

1 paper in Pith

Elliptic curves of rank one over number fields

Receipt and verification

First computed	2026-07-05T05:51:12.598111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be1d4d56d5e037647f458535c2306bc169cb6f603b59c82a79ccd2296bd57b7b

Aliases

arxiv: 2303.07883 · arxiv_version: 2303.07883v1 · doi: 10.48550/arxiv.2303.07883 · pith_short_12: XYOU2VWV4A3W · pith_short_16: XYOU2VWV4A3WI72F · pith_short_8: XYOU2VWV

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/XYOU2VWV4A3WI72FQU24EMDLYF \
  | 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: be1d4d56d5e037647f458535c2306bc169cb6f603b59c82a79ccd2296bd57b7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60ed6bc31510f0f09055d7693cc9f708d6cedcc20582594dcc92df4cc8e8e788",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-03-14T13:12:51Z",
    "title_canon_sha256": "34eed61c757e3cad94414f0c336058a5d898c209b4f7a548f88113237cb9b5ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.07883",
    "kind": "arxiv",
    "version": 1
  }
}