Pith Number

pith:B3PTB6US

pith:2016:B3PTB6USDHG3XQUBTNCRRSN4JI

not attested not anchored not stored refs pending

Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes

Cristina Vidal-Casti\~neira, Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez

arxiv:1609.01978 v1 · 2016-09-07 · 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{B3PTB6USDHG3XQUBTNCRRSN4JI}

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	2026-05-18T01:05:09.532781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0edf30fa9219cdbbc2819b4518c9bc4a3bd23f3266b591f9c9f2fdd90b0621de

Aliases

arxiv: 1609.01978 · arxiv_version: 1609.01978v1 · doi: 10.48550/arxiv.1609.01978 · pith_short_12: B3PTB6USDHG3 · pith_short_16: B3PTB6USDHG3XQUB · pith_short_8: B3PTB6US

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/B3PTB6USDHG3XQUBTNCRRSN4JI \
  | 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: 0edf30fa9219cdbbc2819b4518c9bc4a3bd23f3266b591f9c9f2fdd90b0621de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a87becdac550d93c170b8932d21e6edd4eaf3a22bf98ba4051eac23b769e6d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-07T13:43:11Z",
    "title_canon_sha256": "92e19c436305d3321683a5fe1e98892b8fb5ff7ba6f573222ff1ea8e479dc9b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01978",
    "kind": "arxiv",
    "version": 1
  }
}