Pith Number

pith:XAKEPYHF

pith:2020:XAKEPYHFMT3E45HQP2FMUJIQEO

not attested not anchored not stored refs pending

Boundedness of $n$-complements for generalized pairs

Guodu Chen

arxiv:2003.04237 v2 · 2020-03-09 · 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{XAKEPYHFMT3E45HQP2FMUJIQEO}

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	2026-07-05T01:25:24.946026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b81447e0e564f64e74f07e8aca25102393b19f8cbdc0142b36547804b946ec90

Aliases

arxiv: 2003.04237 · arxiv_version: 2003.04237v2 · doi: 10.48550/arxiv.2003.04237 · pith_short_12: XAKEPYHFMT3E · pith_short_16: XAKEPYHFMT3E45HQ · pith_short_8: XAKEPYHF

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/XAKEPYHFMT3E45HQP2FMUJIQEO \
  | 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: b81447e0e564f64e74f07e8aca25102393b19f8cbdc0142b36547804b946ec90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dedb9fa9ad81f9cabe8e60ca6a02e026f964f91c9e08ceedd2901e7862911eaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-03-09T16:21:47Z",
    "title_canon_sha256": "dc6e26a29c79f25279eda67bcefb679f8926b5ab34debfdab45da1841f16a18f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.04237",
    "kind": "arxiv",
    "version": 2
  }
}