Pith Number

pith:K5BCBUVF

pith:2000:K5BCBUVFDD5SHH7QV6S3PQCJIE

not attested not anchored not stored refs pending

Computing the rational torsion of an elliptic curve using Tate normal form

I. Garc\'ia, J.M. Tornero, M.A. Olalla Acosta

arxiv:math/0011066 v1 · 2000-11-10 · 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{K5BCBUVFDD5SHH7QV6S3PQCJIE}

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	2026-05-18T01:09:07.890138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

574220d2a518fb239ff0afa5b7c0494135efc8f1283439ccbef768b842944852

Aliases

arxiv: math/0011066 · arxiv_version: math/0011066v1 · doi: 10.48550/arxiv.math/0011066 · pith_short_12: K5BCBUVFDD5S · pith_short_16: K5BCBUVFDD5SHH7Q · pith_short_8: K5BCBUVF

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/K5BCBUVFDD5SHH7QV6S3PQCJIE \
  | 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: 574220d2a518fb239ff0afa5b7c0494135efc8f1283439ccbef768b842944852

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "694d16aa3029ed31073982aeb76c071579da7b947e70164135fbef834773a9ec",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-11-10T11:59:33Z",
    "title_canon_sha256": "3d24fb7598cd6a28cffd785712487f278df7dcf59d360054cbd25b5331bd9a7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0011066",
    "kind": "arxiv",
    "version": 1
  }
}