Pith Number

pith:4T4DPXQN

pith:2020:4T4DPXQNCCHWGT57VT4VKRFSTH

not attested not anchored not stored refs pending

On the termination of flips for log canonical generalized pairs

Guodu Chen, Nikolaos Tsakanikas

arxiv:2011.02236 v2 · 2020-11-04 · 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{4T4DPXQNCCHWGT57VT4VKRFSTH}

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	2026-07-05T08:07:53.193358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4f837de0d108f634fbfacf95544b299e05ea1f69bdc87611e711ea163e60399

Aliases

arxiv: 2011.02236 · arxiv_version: 2011.02236v2 · doi: 10.48550/arxiv.2011.02236 · pith_short_12: 4T4DPXQNCCHW · pith_short_16: 4T4DPXQNCCHWGT57 · pith_short_8: 4T4DPXQN

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/4T4DPXQNCCHWGT57VT4VKRFSTH \
  | 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: e4f837de0d108f634fbfacf95544b299e05ea1f69bdc87611e711ea163e60399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef98653bc5b21b230dde1611ebbbbb9dcc1e129be064ea77f32783b33f4b7bd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-11-04T11:27:25Z",
    "title_canon_sha256": "c89a92f5e17ffa968f8f56a4806b1f3da9ba79de467acb2df60e2cf56be54a41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.02236",
    "kind": "arxiv",
    "version": 2
  }
}