Pith Number

pith:5TRS62O3

pith:2005:5TRS62O3P5N42PYPYAM556DOHF

not attested not anchored not stored refs pending

Efficiently Detecting Torsion Points and Subtori

J. Maurice Rojas

arxiv:math/0501388 v4 · 2005-01-23 · math.AG · cs.CC · 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{5TRS62O3P5N42PYPYAM556DOHF}

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	2026-05-18T04:08:35.798868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ece32f69db7f5bcd3f0fc019def86e3964d45f6fa41d00e7cd6bd3fe33586aed

Aliases

arxiv: math/0501388 · arxiv_version: math/0501388v4 · doi: 10.48550/arxiv.math/0501388 · pith_short_12: 5TRS62O3P5N4 · pith_short_16: 5TRS62O3P5N42PYP · pith_short_8: 5TRS62O3

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/5TRS62O3P5N42PYPYAM556DOHF \
  | 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: ece32f69db7f5bcd3f0fc019def86e3964d45f6fa41d00e7cd6bd3fe33586aed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60946f4724d46e898c2190fea8e6c0f4b95e994f5a2344120c8ea6e4402bc444",
    "cross_cats_sorted": [
      "cs.CC",
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-01-23T07:43:28Z",
    "title_canon_sha256": "b417e5b0adca158d56b4e96e52b1e014e27d3a17e9a71c79f4c53f74a24ab173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501388",
    "kind": "arxiv",
    "version": 4
  }
}