Pith Number

pith:HX27BCXF

pith:2025:HX27BCXFFJCBAW7LLBXWQXY4BG

not attested not anchored not stored refs pending

Density of algebraic points on products of curves

Evangelia Gazaki, Isabel Vogt, James Rawson, Jennifer Berg, Morena Porzio, Yu Fu

arxiv:2507.00860 v1 · 2025-07-01 · 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{HX27BCXFFJCBAW7LLBXWQXY4BG}

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

A primer on measures of irrationality

Receipt and verification

First computed	2026-07-05T11:30:16.254475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3df5f08ae52a44105beb586f685f1c09bc3d7be4d02782cb710c35ff280036a1

Aliases

arxiv: 2507.00860 · arxiv_version: 2507.00860v1 · doi: 10.48550/arxiv.2507.00860 · pith_short_12: HX27BCXFFJCB · pith_short_16: HX27BCXFFJCBAW7L · pith_short_8: HX27BCXF

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/HX27BCXFFJCBAW7LLBXWQXY4BG \
  | 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: 3df5f08ae52a44105beb586f685f1c09bc3d7be4d02782cb710c35ff280036a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3546316bef76cfbe525abc3dce1810c4f9e2186636c4b5c525acbf03cca47595",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-01T15:27:57Z",
    "title_canon_sha256": "529b9c7bec3fa660e9d5693275cb02fdd8a89e526c13cf553f52a00ecae8f612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00860",
    "kind": "arxiv",
    "version": 1
  }
}