Pith Number

pith:57LVPXSY

pith:2014:57LVPXSYDF5XIXUS5QPGZ6MRXK

not attested not anchored not stored refs pending

Flops and Clusters in the Homological Minimal Model Program

M. Wemyss

arxiv:1411.7189 v3 · 2014-11-26 · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57LVPXSYDF5XIXUS5QPGZ6MRXK}

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	2026-05-18T00:34:35.592229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efd757de58197b745e92ec1e6cf991ba8e6f3948950f9328c8f0f301435032d4

Aliases

arxiv: 1411.7189 · arxiv_version: 1411.7189v3 · doi: 10.48550/arxiv.1411.7189 · pith_short_12: 57LVPXSYDF5X · pith_short_16: 57LVPXSYDF5XIXUS · pith_short_8: 57LVPXSY

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/57LVPXSYDF5XIXUS5QPGZ6MRXK \
  | 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: efd757de58197b745e92ec1e6cf991ba8e6f3948950f9328c8f0f301435032d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dadbef34371c104938f62cd39a3f1846cedcf6f087f95ffbd185dfb3b8e10820",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-26T11:29:11Z",
    "title_canon_sha256": "e90ffca164306c92221fe6cb0fcd07abf6092411e14fe64629eb45f8446d53cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7189",
    "kind": "arxiv",
    "version": 3
  }
}