Pith Number

pith:6CAPISAR

pith:2009:6CAPISARPBDQMBAIS3NR3K7GZM

not attested not anchored not stored refs pending

On several families of elliptic curves with arbitrary large Selmer groups

Derong Qiu, Fei Li

arxiv:0911.0236 v1 · 2009-11-02 · 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{6CAPISARPBDQMBAIS3NR3K7GZM}

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	2026-05-18T03:54:26.450086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f080f44811784706040896db1dabe6cb1b20aa9878c8cc2d614a8d33d7c7cdc9

Aliases

arxiv: 0911.0236 · arxiv_version: 0911.0236v1 · doi: 10.48550/arxiv.0911.0236 · pith_short_12: 6CAPISARPBDQ · pith_short_16: 6CAPISARPBDQMBAI · pith_short_8: 6CAPISAR

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/6CAPISARPBDQMBAIS3NR3K7GZM \
  | 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: f080f44811784706040896db1dabe6cb1b20aa9878c8cc2d614a8d33d7c7cdc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbf9b487ed67bc381233f9de2cc83ba5a59b0fb084793314ffdaf175dfec2fab",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-11-02T05:33:29Z",
    "title_canon_sha256": "9c64eb13d8bfd31d6c3e8a9cafa4983d563c0c6c1f61965d6a605ee9b8b3797b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0236",
    "kind": "arxiv",
    "version": 1
  }
}