Pith Number

pith:FY5ABJI7

pith:2006:FY5ABJI75DXXOGMJ4AB5QJMEZI

not attested not anchored not stored refs pending

The p-torsion of curves with large p-rank

Rachel Pries

arxiv:math/0601596 v2 · 2006-01-24 · math.AG · 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{FY5ABJI75DXXOGMJ4AB5QJMEZI}

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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	2026-05-18T01:22:52.755765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e3a00a51fe8ef771989e003d82584ca0c82682c36bbb37acd58bb8f2290c807

Aliases

arxiv: math/0601596 · arxiv_version: math/0601596v2 · doi: 10.48550/arxiv.math/0601596 · pith_short_12: FY5ABJI75DXX · pith_short_16: FY5ABJI75DXXOGMJ · pith_short_8: FY5ABJI7

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/FY5ABJI75DXXOGMJ4AB5QJMEZI \
  | 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: 2e3a00a51fe8ef771989e003d82584ca0c82682c36bbb37acd58bb8f2290c807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5582422fec5d0f9cba1bcf93ffde1551471830c97bf2ee6677ba2b5988d527ad",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2006-01-24T22:02:37Z",
    "title_canon_sha256": "a951b7973f187624ac6b7222f3b9934715a011979da5742ec7d447b1d820cf58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601596",
    "kind": "arxiv",
    "version": 2
  }
}