Pith Number

pith:3XFPU7HV

pith:2025:3XFPU7HVVPQ3YFEU6FGI3E46YR

not attested not anchored not stored refs pending

Counting elliptic curves over $\mathbb{Q}$ with bounded naive height

Adrian Barquero-Sanchez, Daniel Mora-Mora

arxiv:2506.18874 v2 · 2025-06-23 · 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{3XFPU7HVVPQ3YFEU6FGI3E46YR}

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	2026-06-08T01:03:45.900963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddcafa7cf5abe1bc1494f14c8d939ec47d9a8c621ed93787a7a1966acfe8a175

Aliases

arxiv: 2506.18874 · arxiv_version: 2506.18874v2 · doi: 10.48550/arxiv.2506.18874 · pith_short_12: 3XFPU7HVVPQ3 · pith_short_16: 3XFPU7HVVPQ3YFEU · pith_short_8: 3XFPU7HV

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/3XFPU7HVVPQ3YFEU6FGI3E46YR \
  | 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: ddcafa7cf5abe1bc1494f14c8d939ec47d9a8c621ed93787a7a1966acfe8a175

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dfe72997cf3724d8a1db15e6efa2eb1f109b6e5d8a448ea53335570a35e48f9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-23T17:43:38Z",
    "title_canon_sha256": "67ea42747f8dc3e76df29f247ce22a32994e4af7818f1418dfd24d15be280f20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.18874",
    "kind": "arxiv",
    "version": 2
  }
}