Pith Number

pith:ZKAJ67ZI

pith:2012:ZKAJ67ZIHY527LQOQVF5SGAXJV

not attested not anchored not stored refs pending

Isoparametric foliations on complex projective spaces

Miguel Dominguez-Vazquez

arxiv:1204.3428 v3 · 2012-04-16 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKAJ67ZIHY527LQOQVF5SGAXJV}

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	2026-05-18T02:57:24.336702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca809f7f283e3bafae0e854bd918174d75ec693b526b83342c97ab3f30588825

Aliases

arxiv: 1204.3428 · arxiv_version: 1204.3428v3 · doi: 10.48550/arxiv.1204.3428 · pith_short_12: ZKAJ67ZIHY52 · pith_short_16: ZKAJ67ZIHY527LQO · pith_short_8: ZKAJ67ZI

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/ZKAJ67ZIHY527LQOQVF5SGAXJV \
  | 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: ca809f7f283e3bafae0e854bd918174d75ec693b526b83342c97ab3f30588825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5c5ef722fbd43c3a2cd7deae2ea7c71fe0d0ec81bc5d28a605d4e6dd1c40ecd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-16T09:52:10Z",
    "title_canon_sha256": "5b6cc7d7f32f84cd0abecd16c69d6a55e5a35ff80dfd9dced5752b025a198cc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3428",
    "kind": "arxiv",
    "version": 3
  }
}