Pith Number

pith:7F3BDD4W

pith:2024:7F3BDD4WENMTFMXKPKMZLVRPAP

not attested not anchored not stored refs pending

Anticanonical minimal models and Zariski decomposition

Sungwook Jang

arxiv:2405.10533 v2 · 2024-05-17 · 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{7F3BDD4WENMTFMXKPKMZLVRPAP}

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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

On minimal model program and Zariski decomposition of potential triples

Receipt and verification

First computed	2026-07-05T11:16:02.182030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f976118f96235932b2ea7a9995d62f03dd5ae74492301a0c2c91f2e1541efef9

Aliases

arxiv: 2405.10533 · arxiv_version: 2405.10533v2 · doi: 10.48550/arxiv.2405.10533 · pith_short_12: 7F3BDD4WENMT · pith_short_16: 7F3BDD4WENMTFMXK · pith_short_8: 7F3BDD4W

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/7F3BDD4WENMTFMXKPKMZLVRPAP \
  | 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: f976118f96235932b2ea7a9995d62f03dd5ae74492301a0c2c91f2e1541efef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "605212bf95ef40cde39f48d3e5d4c1673e955c1f638d6cb57f9b4389b4402c61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-05-17T04:23:59Z",
    "title_canon_sha256": "e65ddf706f30a50482d36571e02cdf4cab1a2621e2edffbd139cb6190411c26f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.10533",
    "kind": "arxiv",
    "version": 2
  }
}