Pith Number

pith:BCWXCU3R

pith:2019:BCWXCU3RNZINXE2C24ASAUARJY

not attested not anchored not stored refs pending

On Nonvanishing for uniruled log canonical pairs

Fanjun Meng, Vladimir Lazi\'c

arxiv:1907.11991 v2 · 2019-07-27 · 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{BCWXCU3RNZINXE2C24ASAUARJY}

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

Abundance for uniruled pairs which are not rationally connected

Receipt and verification

First computed	2026-07-05T04:24:53.537079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08ad7153716e50db9342d7012050114e34c41ca2803013ef435341b917e93bc4

Aliases

arxiv: 1907.11991 · arxiv_version: 1907.11991v2 · doi: 10.48550/arxiv.1907.11991 · pith_short_12: BCWXCU3RNZIN · pith_short_16: BCWXCU3RNZINXE2C · pith_short_8: BCWXCU3R

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/BCWXCU3RNZINXE2C24ASAUARJY \
  | 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: 08ad7153716e50db9342d7012050114e34c41ca2803013ef435341b917e93bc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a46531ace1df6e1c8aff0216e7c0a04e45a040204fd45d807682724ea2b93afb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-27T23:53:35Z",
    "title_canon_sha256": "7817efa6d28f8eae8d74c9fdf131dd91543a2460c35b44cc8da318ce0cf7de55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11991",
    "kind": "arxiv",
    "version": 2
  }
}