Pith Number

pith:BPJDRXCQ

pith:2022:BPJDRXCQK3PJSZWQI7EEKKUXUI

not attested not anchored not stored refs pending

On generalized lc pairs with $\mathrm{\textbf b}$-log abundant nef part

Jihao Liu, Junpeng Jiao, Lingyao Xie

arxiv:2202.11256 v2 · 2022-02-23 · 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{BPJDRXCQK3PJSZWQI7EEKKUXUI}

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

On the DCC Property of Iitaka Volume with Real Coefficients and Generalised Pairs

Quasi-Projective Moduli for Polarized klt Good Minimal Models

Receipt and verification

First computed	2026-07-05T03:59:44.856575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bd238dc5056de9966d047c8452a97a23bdb75b115f4a0f0f65da0cf4f2ef9fc

Aliases

arxiv: 2202.11256 · arxiv_version: 2202.11256v2 · doi: 10.48550/arxiv.2202.11256 · pith_short_12: BPJDRXCQK3PJ · pith_short_16: BPJDRXCQK3PJSZWQ · pith_short_8: BPJDRXCQ

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/BPJDRXCQK3PJSZWQI7EEKKUXUI \
  | 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: 0bd238dc5056de9966d047c8452a97a23bdb75b115f4a0f0f65da0cf4f2ef9fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "223b3df52f749486bb8599d8d054ac6a5545f22d42b91ae87497029651aa277c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-02-23T01:18:21Z",
    "title_canon_sha256": "6f284bfe060a48b966cbd76e8535f52fe5f9b896fc1f584010a290f966609331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.11256",
    "kind": "arxiv",
    "version": 2
  }
}