Pith Number

pith:JVT4O4DV

pith:2009:JVT4O4DVROQ5PSTGPL2JAIAJ5V

not attested not anchored not stored refs pending

Galois points for a normal hypersurface

Satoru Fukasawa, Takeshi Takahashi

arxiv:0907.4834 v1 · 2009-07-28 · 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{JVT4O4DVROQ5PSTGPL2JAIAJ5V}

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	2026-05-18T03:01:54.827103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d67c770758ba1d7ca667af4902009ed61966261e8543aa8e8c0fc4be37d9447

Aliases

arxiv: 0907.4834 · arxiv_version: 0907.4834v1 · doi: 10.48550/arxiv.0907.4834 · pith_short_12: JVT4O4DVROQ5 · pith_short_16: JVT4O4DVROQ5PSTG · pith_short_8: JVT4O4DV

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/JVT4O4DVROQ5PSTGPL2JAIAJ5V \
  | 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: 4d67c770758ba1d7ca667af4902009ed61966261e8543aa8e8c0fc4be37d9447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a30cfb240d21346823d77ca53e7c86edc75afd6c2f6cbae61d2def95b5c87349",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-28T04:46:37Z",
    "title_canon_sha256": "cb3c2aa23946e770dfa6763b96095c643e535a17acfc0beacd4ab9b313f28c9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4834",
    "kind": "arxiv",
    "version": 1
  }
}