Pith Number

pith:EJCF2SA5

pith:2020:EJCF2SA52CJJ7HXB3PN6WI5A6Z

not attested not anchored not stored refs pending

Non-vanishing theorem for generalized log canonical pairs with a polarization

Kenta Hashizume

arxiv:2012.15038 v1 · 2020-12-30 · 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{EJCF2SA52CJJ7HXB3PN6WI5A6Z}

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	2026-07-05T02:03:03.918251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22445d481dd0929f9ee1dbdbeb23a0f67434033e3642a2ae83b4aa74842b1449

Aliases

arxiv: 2012.15038 · arxiv_version: 2012.15038v1 · doi: 10.48550/arxiv.2012.15038 · pith_short_12: EJCF2SA52CJJ · pith_short_16: EJCF2SA52CJJ7HXB · pith_short_8: EJCF2SA5

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/EJCF2SA52CJJ7HXB3PN6WI5A6Z \
  | 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: 22445d481dd0929f9ee1dbdbeb23a0f67434033e3642a2ae83b4aa74842b1449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b1b9a02c20c5d900a56ab53d244996fabf1437393223d64a3046ab9f476540f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-12-30T04:44:12Z",
    "title_canon_sha256": "0a57c909b2b7a8d107772687a5c5cbba4e388b4cc3c1b65ba766527125b8f816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.15038",
    "kind": "arxiv",
    "version": 1
  }
}