Pith Number

pith:XIYCFRX7

pith:2018:XIYCFRX7REV3EEAEB4E5OOY734

not attested not anchored not stored refs pending

Hopf Real Hypersurfaces in the Indefinite Complex Projective Space

Makoto Kimura, Miguel Ortega

arxiv:1802.05556 v2 · 2018-02-15 · 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{XIYCFRX7REV3EEAEB4E5OOY734}

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	2026-05-17T23:53:55.847486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba3022c6ff892bb210040f09d73b1fdf29aa3b309fff341d2b92b62a7364d4f3

Aliases

arxiv: 1802.05556 · arxiv_version: 1802.05556v2 · doi: 10.48550/arxiv.1802.05556 · pith_short_12: XIYCFRX7REV3 · pith_short_16: XIYCFRX7REV3EEAE · pith_short_8: XIYCFRX7

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/XIYCFRX7REV3EEAEB4E5OOY734 \
  | 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: ba3022c6ff892bb210040f09d73b1fdf29aa3b309fff341d2b92b62a7364d4f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12f9bc0a329adbd66d1dc2cc8c34aa9ec6aa0bc84f5396150e3294ca300dacfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-02-15T14:23:44Z",
    "title_canon_sha256": "4735ff0873cce77cf451b36f5266097594ef20c061f4906f16b09cd34dd4bef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05556",
    "kind": "arxiv",
    "version": 2
  }
}