Pith Number

pith:BXN4UBXH

pith:2016:BXN4UBXHBXZZJNZBNYN2YHL5ST

not attested not anchored not stored refs pending

Smooth rational surfaces violating Kawamata-Viehweg vanishing

Hiromu Tanaka, Paolo Cascini

arxiv:1607.08542 v2 · 2016-07-28 · 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{BXN4UBXHBXZZJNZBNYN2YHL5ST}

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	2026-05-18T00:54:08.849202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ddbca06e70df394b7216e1bac1d7d94c0af1d69af2bd2ca154b0fd9be873713

Aliases

arxiv: 1607.08542 · arxiv_version: 1607.08542v2 · doi: 10.48550/arxiv.1607.08542 · pith_short_12: BXN4UBXHBXZZ · pith_short_16: BXN4UBXHBXZZJNZB · pith_short_8: BXN4UBXH

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/BXN4UBXHBXZZJNZBNYN2YHL5ST \
  | 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: 0ddbca06e70df394b7216e1bac1d7d94c0af1d69af2bd2ca154b0fd9be873713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f615a7c552251e40b751ba16949e1dacf3a717d148f66f4960089369a8cdcd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-28T17:40:38Z",
    "title_canon_sha256": "d7aef9756692f900063f8856f4af787ef5bda5f9647076edf5fc0821e3c4633c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08542",
    "kind": "arxiv",
    "version": 2
  }
}