Pith Number

pith:CBJ3KXLP

pith:2019:CBJ3KXLPFEHDSA6MNMKR7ZK7SH

not attested not anchored not stored refs pending

Tropical degenerations and stable rationality

Johannes Nicaise, John Christian Ottem

arxiv:1911.06138 v4 · 2019-11-14 · 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{CBJ3KXLPFEHDSA6MNMKR7ZK7SH}

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.

Cited by

1 paper in Pith

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds

Receipt and verification

First computed	2026-07-05T03:52:23.264983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1053b55d6f290e3903cc6b151fe55f91e4b9b183d91586604619ff260efd3f2b

Aliases

arxiv: 1911.06138 · arxiv_version: 1911.06138v4 · doi: 10.48550/arxiv.1911.06138 · pith_short_12: CBJ3KXLPFEHD · pith_short_16: CBJ3KXLPFEHDSA6M · pith_short_8: CBJ3KXLP

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/CBJ3KXLPFEHDSA6MNMKR7ZK7SH \
  | 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: 1053b55d6f290e3903cc6b151fe55f91e4b9b183d91586604619ff260efd3f2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e634efada20d708212fb6a8958b875a43c49bb342edd6e6722bd2a9dd9fe718",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-11-14T14:46:38Z",
    "title_canon_sha256": "4df27815d3d2b03d707064886bbbd38b78794cd50a418fee8727e522aae06330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.06138",
    "kind": "arxiv",
    "version": 4
  }
}