Pith Number

pith:VXFWRN6B

pith:2012:VXFWRN6BM6IP44S5TXLN3NGROJ

not attested not anchored not stored refs pending

A hyperplane section theorem for Galois points and its application

Satoru Fukasawa

arxiv:1206.6939 v2 · 2012-06-29 · 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{VXFWRN6BM6IP44S5TXLN3NGROJ}

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	2026-05-18T01:11:05.442288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adcb68b7c16790fe725d9dd6ddb4d17247d6d8e2d6aabe3a14d7016d1cee24d7

Aliases

arxiv: 1206.6939 · arxiv_version: 1206.6939v2 · doi: 10.48550/arxiv.1206.6939 · pith_short_12: VXFWRN6BM6IP · pith_short_16: VXFWRN6BM6IP44S5 · pith_short_8: VXFWRN6B

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/VXFWRN6BM6IP44S5TXLN3NGROJ \
  | 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: adcb68b7c16790fe725d9dd6ddb4d17247d6d8e2d6aabe3a14d7016d1cee24d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4741ecbd089a8bf1fad68c4e002666eae254c5e1aa3fa31e4c27ac61e9843f4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-29T04:50:31Z",
    "title_canon_sha256": "cca284d1213ea04e6061cf0aa9e35138d5e67cd8e69e1b95a7a48b49a046f6ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6939",
    "kind": "arxiv",
    "version": 2
  }
}