Pith Number

pith:4CA2H7N6

pith:2020:4CA2H7N6TTHCS6E2VPFDMYIDAQ

not attested not anchored not stored refs pending

Log abundance of the moduli b-divisors of lc-trivial fibrations

Zhengyu Hu

arxiv:2003.14379 v3 · 2020-03-31 · 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{4CA2H7N6TTHCS6E2VPFDMYIDAQ}

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

4 papers in Pith

On the minimal model theory for generalized pairs of relative log numerical dimension zero

Addendum: On generalized canonical bundle formula and boundedness of complements in complex analytic setting

Nakayama-Zariski decomposition and the termination of flips

Quasi-Projective Moduli for Polarized klt Good Minimal Models

Receipt and verification

First computed	2026-07-05T02:15:09.904651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e081a3fdbe9cce29789aabca366103042168c507d5d133491f950dc008ea3180

Aliases

arxiv: 2003.14379 · arxiv_version: 2003.14379v3 · doi: 10.48550/arxiv.2003.14379 · pith_short_12: 4CA2H7N6TTHC · pith_short_16: 4CA2H7N6TTHCS6E2 · pith_short_8: 4CA2H7N6

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/4CA2H7N6TTHCS6E2VPFDMYIDAQ \
  | 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: e081a3fdbe9cce29789aabca366103042168c507d5d133491f950dc008ea3180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fb588c598320fe9d0b2367a6640f2789e150e76caf961a04982910e4896bc9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-03-31T17:24:56Z",
    "title_canon_sha256": "79e153aaac94ca48c4cd0e44107b985bdbf58e184dccb0dd242fa52ea2ccbcda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.14379",
    "kind": "arxiv",
    "version": 3
  }
}