Pith Number

pith:BM3OOC4V

pith:2012:BM3OOC4VPDTEGU3ITMEBPX5M4A

not attested not anchored not stored refs pending

On a generalization of the Mukai conjecture for Fano fourfolds

Kento Fujita

arxiv:1206.1990 v2 · 2012-06-10 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BM3OOC4VPDTEGU3ITMEBPX5M4A}

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	2026-05-18T03:11:58.173669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b36e70b9578e64353689b0817dface03afb594ef4c443b33a2076832f8a2cab

Aliases

arxiv: 1206.1990 · arxiv_version: 1206.1990v2 · doi: 10.48550/arxiv.1206.1990 · pith_short_12: BM3OOC4VPDTE · pith_short_16: BM3OOC4VPDTEGU3I · pith_short_8: BM3OOC4V

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/BM3OOC4VPDTEGU3ITMEBPX5M4A \
  | 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: 0b36e70b9578e64353689b0817dface03afb594ef4c443b33a2076832f8a2cab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb50cb45b0828f3ab38f61b59f61e1162afe3a6f012385069fbcfaffbdb9b472",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-10T02:58:49Z",
    "title_canon_sha256": "8b0674f0f82aa57e5c8fe8739094720eeb79b30da7ba825ff270dfdaf5885ca9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1990",
    "kind": "arxiv",
    "version": 2
  }
}