Pith Number

pith:JZREYXGM

pith:2025:JZREYXGMDWZXG7O2XTA2PJHUND

not attested not anchored not stored refs pending

On minimal model program and Zariski decomposition of potential triples

Dae-Won Lee, Sung Rak Choi, Sungwook Jang

arxiv:2502.00790 v1 · 2025-02-02 · 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{JZREYXGMDWZXG7O2XTA2PJHUND}

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.

Receipt and verification

First computed	2026-07-05T10:08:38.484899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e624c5ccc1db3737ddabcc1a7a4f468e1d987a990f7fb160888ac49ac07994a

Aliases

arxiv: 2502.00790 · arxiv_version: 2502.00790v1 · doi: 10.48550/arxiv.2502.00790 · pith_short_12: JZREYXGMDWZX · pith_short_16: JZREYXGMDWZXG7O2 · pith_short_8: JZREYXGM

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/JZREYXGMDWZXG7O2XTA2PJHUND \
  | 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: 4e624c5ccc1db3737ddabcc1a7a4f468e1d987a990f7fb160888ac49ac07994a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab56330be5fd3e0329f92d9e5024f13e24951db9f0f2da091cbfbd44d777f8dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-02-02T13:09:25Z",
    "title_canon_sha256": "593cc700bee47fc74db70c5b1bcf1c191b3b7f5298b5c629b3b3f38da3b6b061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.00790",
    "kind": "arxiv",
    "version": 1
  }
}