Pith Number

pith:R6PQTNLY

pith:2025:R6PQTNLYSMOUINHFPK775ZGWJP

not attested not anchored not stored refs pending

Prime order torsion on elliptic curves over number fields. Part I: Asymptotics

Maarten Derickx, Michael Stoll

arxiv:2505.14109 v1 · 2025-05-20 · 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{R6PQTNLYSMOUINHFPK775ZGWJP}

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	2026-07-05T11:05:56.355363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f9f09b578931d4434e57abffee4d64beedc7b0d68d7095c1db2f0ea988934dc

Aliases

arxiv: 2505.14109 · arxiv_version: 2505.14109v1 · doi: 10.48550/arxiv.2505.14109 · pith_short_12: R6PQTNLYSMOU · pith_short_16: R6PQTNLYSMOUINHF · pith_short_8: R6PQTNLY

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/R6PQTNLYSMOUINHFPK775ZGWJP \
  | 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: 8f9f09b578931d4434e57abffee4d64beedc7b0d68d7095c1db2f0ea988934dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6908d66d430cc9735ebf755f37d076a67ee9602dbaf4ffd798b27983d93361d5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-20T09:17:27Z",
    "title_canon_sha256": "118f9c057b05b6952531a7dcd3ab799a147d76e332809138873c1aca81c104da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.14109",
    "kind": "arxiv",
    "version": 1
  }
}