Pith Number

pith:PYVV4DT4

pith:2020:PYVV4DT4AUFKNQRI4JXCXGDSF6

not attested not anchored not stored refs pending

Invariance of Plurigenera and boundedness for Generalized Pairs

Roberto Svaldi, Stefano Filipazzi

arxiv:2005.04254 v3 · 2020-05-08 · 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{PYVV4DT4AUFKNQRI4JXCXGDSF6}

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

Discreteness of volumes of divisors on Calabi-Yau type varieties

Receipt and verification

First computed	2026-07-05T04:00:46.923207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e2b5e0e7c050aa6c228e26e2b98722f942c195dd6c20ab8d26556cc0dcca613

Aliases

arxiv: 2005.04254 · arxiv_version: 2005.04254v3 · doi: 10.48550/arxiv.2005.04254 · pith_short_12: PYVV4DT4AUFK · pith_short_16: PYVV4DT4AUFKNQRI · pith_short_8: PYVV4DT4

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/PYVV4DT4AUFKNQRI4JXCXGDSF6 \
  | 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: 7e2b5e0e7c050aa6c228e26e2b98722f942c195dd6c20ab8d26556cc0dcca613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c0c9aafc42387955ccd2477209847fba4a3eda75beb349e0e03305d04f6cdbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-05-08T18:34:48Z",
    "title_canon_sha256": "2714b2772513f60d50adaefb2194b11cfcbe827e5a39482b131795e1b9c1259a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.04254",
    "kind": "arxiv",
    "version": 3
  }
}