Pith Number

pith:N5O4HOKK

pith:2015:N5O4HOKKCBIRTVT7Z7O263AZ4M

not attested not anchored not stored refs pending

Compact pluricanonical manifolds are Vaisman

Liviu Ornea, Misha Verbitsky

arxiv:1512.00968 v2 · 2015-12-03 · 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{N5O4HOKKCBIRTVT7Z7O263AZ4M}

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	2026-05-18T01:21:36.731696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f5dc3b94a105119d67fcfddaf6c19e3134e3801e16ccf00c78f9deeea2a703a

Aliases

arxiv: 1512.00968 · arxiv_version: 1512.00968v2 · doi: 10.48550/arxiv.1512.00968 · pith_short_12: N5O4HOKKCBIR · pith_short_16: N5O4HOKKCBIRTVT7 · pith_short_8: N5O4HOKK

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/N5O4HOKKCBIRTVT7Z7O263AZ4M \
  | 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: 6f5dc3b94a105119d67fcfddaf6c19e3134e3801e16ccf00c78f9deeea2a703a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c18115d0ea69e7aaa1ce5a1f03551cc0a2e91518dd976cc0f3cf297a8138d9a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-03T07:05:38Z",
    "title_canon_sha256": "16f84abf64ea6759d77c71e4116c766a935858865a19c9f59d7864ac05eaf408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00968",
    "kind": "arxiv",
    "version": 2
  }
}