Pith Number

pith:2QICGT3J

pith:2021:2QICGT3JEQLGEBG5QG6WFDYQRZ

not attested not anchored not stored refs pending

Existence of log canonical modifications and its applications

Kenta Hashizume, Osamu Fujino

arxiv:2103.01417 v2 · 2021-03-02 · 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{2QICGT3JEQLGEBG5QG6WFDYQRZ}

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	2026-07-05T04:47:06.890057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d410234f6924166204dd81bd628f108e79a23bf99e61aa8d28c1cfd699076b9c

Aliases

arxiv: 2103.01417 · arxiv_version: 2103.01417v2 · doi: 10.48550/arxiv.2103.01417 · pith_short_12: 2QICGT3JEQLG · pith_short_16: 2QICGT3JEQLGEBG5 · pith_short_8: 2QICGT3J

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/2QICGT3JEQLGEBG5QG6WFDYQRZ \
  | 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: d410234f6924166204dd81bd628f108e79a23bf99e61aa8d28c1cfd699076b9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f64eab263265c9cbb9ef9fe407eea9f7c0884d0aa674f6f8204672c684696f21",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-03-02T02:04:51Z",
    "title_canon_sha256": "6ce4fc74dd7a034434369228c18859c38a6c81f8b63c83a53eee0e57adb6e165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.01417",
    "kind": "arxiv",
    "version": 2
  }
}