Pith Number

pith:P7IQYRI5

pith:2019:P7IQYRI5MPUN3USP63LUFZ3M5M

not attested not anchored not stored refs pending

Corrigendum: On subadditivity of the logarithmic Kodaira dimension

Osamu Fujino

arxiv:1904.11639 v3 · 2019-04-26 · 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{P7IQYRI5MPUN3USP63LUFZ3M5M}

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	2026-07-05T00:27:43.183518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd10c451d63e8ddd24ff6d742e76ceb1cea9f21ce65837bf1bd17a2a10175fd

Aliases

arxiv: 1904.11639 · arxiv_version: 1904.11639v3 · doi: 10.48550/arxiv.1904.11639 · pith_short_12: P7IQYRI5MPUN · pith_short_16: P7IQYRI5MPUN3USP · pith_short_8: P7IQYRI5

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/P7IQYRI5MPUN3USP63LUFZ3M5M \
  | 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: 7fd10c451d63e8ddd24ff6d742e76ceb1cea9f21ce65837bf1bd17a2a10175fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f288034eb9ec51d4d0d8177f2f03db257d59c3f645ba4dc10dbcb1dd5ac692",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-04-26T01:38:31Z",
    "title_canon_sha256": "d36320c9fc84cb9fa53240c419cbafd05121bdc8449e56f9bbc4de950967de3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11639",
    "kind": "arxiv",
    "version": 3
  }
}