Pith Number

pith:5HXTGNDM

pith:2020:5HXTGNDMGNBPAFTPPK7OTUILSF

not attested not anchored not stored refs pending

Existence and boundedness of $n$-complements

V.V. Shokurov

arxiv:2012.06495 v1 · 2020-12-11 · 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{5HXTGNDMGNBPAFTPPK7OTUILSF}

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

2 papers in Pith

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

Birational boundedness of stable families

Receipt and verification

First computed	2026-07-05T01:58:52.178001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9ef33346c3342f0166f7abee9d10b915d85dc8b46185f87806434353fa62abd

Aliases

arxiv: 2012.06495 · arxiv_version: 2012.06495v1 · doi: 10.48550/arxiv.2012.06495 · pith_short_12: 5HXTGNDMGNBP · pith_short_16: 5HXTGNDMGNBPAFTP · pith_short_8: 5HXTGNDM

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/5HXTGNDMGNBPAFTPPK7OTUILSF \
  | 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: e9ef33346c3342f0166f7abee9d10b915d85dc8b46185f87806434353fa62abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76b1db24b15153b53b1a61cb09a6c232638d7ead270c0b43b882f9ab8106199c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-12-11T16:59:11Z",
    "title_canon_sha256": "f22ae1a3abf8d71176118a96b346e8a1f81622b13a94a800b3e8e23fc0934057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.06495",
    "kind": "arxiv",
    "version": 1
  }
}