Pith Number

pith:XZ4ID66V

pith:2010:XZ4ID66VGB2CV3XXXADLTVFDYP

not attested not anchored not stored refs pending

Complete determination of the number of Galois points for a smooth plane curve

Satoru Fukasawa

arxiv:1011.3648 v3 · 2010-11-16 · 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{XZ4ID66VGB2CV3XXXADLTVFDYP}

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	2026-05-18T03:16:38.862533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be7881fbd530742aeef7b806b9d4a3c3d033037a821409a646c8754e9e7e013b

Aliases

arxiv: 1011.3648 · arxiv_version: 1011.3648v3 · doi: 10.48550/arxiv.1011.3648 · pith_short_12: XZ4ID66VGB2C · pith_short_16: XZ4ID66VGB2CV3XX · pith_short_8: XZ4ID66V

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/XZ4ID66VGB2CV3XXXADLTVFDYP \
  | 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: be7881fbd530742aeef7b806b9d4a3c3d033037a821409a646c8754e9e7e013b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f93df204617d779ac7e4f01980255758cf72a3c4698c33f76ae691eea0626299",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-16T11:01:54Z",
    "title_canon_sha256": "63c495968166f9f96e88b3cd2f18c01b0ed80d4491d8d7f60ce2e8117b460826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3648",
    "kind": "arxiv",
    "version": 3
  }
}