Pith Number

pith:CYYLB65R

pith:2010:CYYLB65ROQXL5ET6F4RLGYDWKF

not attested not anchored not stored refs pending

Galois lines for normal elliptic space curves, II

Hisao Yoshihara

arxiv:1004.4962 v1 · 2010-04-28 · 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{CYYLB65ROQXL5ET6F4RLGYDWKF}

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	2026-05-18T02:24:15.565378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1630b0fbb1742ebe927e2f22b360765154371391e56122e13837d1b54aada336

Aliases

arxiv: 1004.4962 · arxiv_version: 1004.4962v1 · doi: 10.48550/arxiv.1004.4962 · pith_short_12: CYYLB65ROQXL · pith_short_16: CYYLB65ROQXL5ET6 · pith_short_8: CYYLB65R

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/CYYLB65ROQXL5ET6F4RLGYDWKF \
  | 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: 1630b0fbb1742ebe927e2f22b360765154371391e56122e13837d1b54aada336

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4379820281b01fc13c5f92013d57233f84222436d7d8e9984d78d116cabbf577",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-04-28T07:15:11Z",
    "title_canon_sha256": "d965f9403da0e5aa928f8b6f6b8c8ec43ccdd6ad0b79115c8e43681f8b5fe2b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4962",
    "kind": "arxiv",
    "version": 1
  }
}