Pith Number

pith:TYCH3BZ4

pith:2015:TYCH3BZ4LPQJHTOCRCHCXDQRN5

not attested not anchored not stored refs pending

On birational geometry of minimal threefolds with numerically trivial canonical divisors

Chen Jiang

arxiv:1501.05745 v2 · 2015-01-23 · 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{TYCH3BZ4LPQJHTOCRCHCXDQRN5}

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	2026-05-18T01:14:59.019976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e047d873c5be093cdc2888e2b8e116f41a8a30557eec591a2830718548e2577

Aliases

arxiv: 1501.05745 · arxiv_version: 1501.05745v2 · doi: 10.48550/arxiv.1501.05745 · pith_short_12: TYCH3BZ4LPQJ · pith_short_16: TYCH3BZ4LPQJHTOC · pith_short_8: TYCH3BZ4

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/TYCH3BZ4LPQJHTOCRCHCXDQRN5 \
  | 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: 9e047d873c5be093cdc2888e2b8e116f41a8a30557eec591a2830718548e2577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b1ee69eec253c8c67aafe02c8b25f637990df1cbc17063fec5e7bffda999a12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-23T09:16:49Z",
    "title_canon_sha256": "d2b1269861473b3d06b9cab1f8ae0b098aa4f74adaa98a5572568116fe4e43ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05745",
    "kind": "arxiv",
    "version": 2
  }
}