pith. sign in
Pith Number

pith:WVZUM3V5

pith:2015:WVZUM3V5MX54XZRIQOTFITKIOA
not attested not anchored not stored refs pending

Remarks on Mukai threefolds admitting $C^{*}$ action

Grzegorz Kapustka, Michal Kapustka, Slawomir Dinew

arxiv:1506.03286 v1 · 2015-06-10 · math.DG · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WVZUM3V5MX54XZRIQOTFITKIOA}

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 2026-05-18T00:42:13.593807Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b573466ebd65fbcbe62883a6544d487032d327f7d17b52278297b704d5a1f4d7

Aliases

arxiv: 1506.03286 · arxiv_version: 1506.03286v1 · doi: 10.48550/arxiv.1506.03286 · pith_short_12: WVZUM3V5MX54 · pith_short_16: WVZUM3V5MX54XZRI · pith_short_8: WVZUM3V5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WVZUM3V5MX54XZRIQOTFITKIOA \
  | 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: b573466ebd65fbcbe62883a6544d487032d327f7d17b52278297b704d5a1f4d7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "89f3aa1e1c9e0a9c4e34b889ecec509bc76321266c3f8e222e0fa80e25205c29",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-10T13:15:47Z",
    "title_canon_sha256": "eaff5317fc157178ca024c52a2f7086aa6db2de5c2fd1ede1fe8cd6c987b208b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03286",
    "kind": "arxiv",
    "version": 1
  }
}