Pith Number

pith:KQJ4P7TV

pith:2024:KQJ4P7TVPQ64R5GQ6PXDMJMLFD

not attested not anchored not stored refs pending

Metrics with minimal singularities and the Abundance conjecture

Vladimir Lazi\'c

arxiv:2406.18233 v1 · 2024-06-26 · math.AG · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQJ4P7TVPQ64R5GQ6PXDMJMLFD}

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

Non-vanishing implies numerical dimension one abundance

Receipt and verification

First computed	2026-07-05T08:36:57.779381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5413c7fe757c3dc8f4d0f3ee36258b28d40ac81bf70232fe7ce41d4775833877

Aliases

arxiv: 2406.18233 · arxiv_version: 2406.18233v1 · doi: 10.48550/arxiv.2406.18233 · pith_short_12: KQJ4P7TVPQ64 · pith_short_16: KQJ4P7TVPQ64R5GQ · pith_short_8: KQJ4P7TV

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/KQJ4P7TVPQ64R5GQ6PXDMJMLFD \
  | 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: 5413c7fe757c3dc8f4d0f3ee36258b28d40ac81bf70232fe7ce41d4775833877

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "166cd030e4ce90a8e49f968348e6c7c4ca759cbd99c8c9d45cbdaf612a070f1a",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-06-26T10:30:50Z",
    "title_canon_sha256": "3d53a28841b2e5c9c8741867f381239e07c6c20e94cc835d1f9e896807aee9f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.18233",
    "kind": "arxiv",
    "version": 1
  }
}