Pith Number

pith:HF7VHROV

pith:2014:HF7VHROV6DANKN3I7BGCSRMFM2

not attested not anchored not stored refs pending

The second Betti number of hyperk\"ahler manifolds

Nikon Kurnosov

arxiv:1401.0510 v3 · 2014-01-02 · math.AG · 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{HF7VHROV6DANKN3I7BGCSRMFM2}

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	2026-05-18T01:24:08.937761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

397f53c5d5f0c0d53768f84c294585668efdd8c2a15f01dc87553d0bc5faa5f6

Aliases

arxiv: 1401.0510 · arxiv_version: 1401.0510v3 · doi: 10.48550/arxiv.1401.0510 · pith_short_12: HF7VHROV6DAN · pith_short_16: HF7VHROV6DANKN3I · pith_short_8: HF7VHROV

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/HF7VHROV6DANKN3I7BGCSRMFM2 \
  | 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: 397f53c5d5f0c0d53768f84c294585668efdd8c2a15f01dc87553d0bc5faa5f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fe82640723075feab50c94f2bbf1066e80f7b4dc98b51b99848e1e4cacf4ccb",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-01-02T19:21:38Z",
    "title_canon_sha256": "38925215b7a00c4a0aa1634fc016447f1f8d9e677c4feab3c6d294724e2b1168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0510",
    "kind": "arxiv",
    "version": 3
  }
}