Pith Number

pith:HHIJQDR2

pith:2019:HHIJQDR2JHY3F4QLC2STCMRVQL

not attested not anchored not stored refs pending

Local and global applications of the Minimal Model Program for co-rank one foliations on threefolds

Calum Spicer, Roberto Svaldi

arxiv:1908.05037 v2 · 2019-08-14 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHIJQDR2JHY3F4QLC2STCMRVQL}

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	2026-07-05T05:13:27.070524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d0980e3a49f1b2f20b16a531323582fa12097d957b1069439cf5213eed8aa9

Aliases

arxiv: 1908.05037 · arxiv_version: 1908.05037v2 · doi: 10.48550/arxiv.1908.05037 · pith_short_12: HHIJQDR2JHY3 · pith_short_16: HHIJQDR2JHY3F4QL · pith_short_8: HHIJQDR2

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/HHIJQDR2JHY3F4QLC2STCMRVQL \
  | 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: 39d0980e3a49f1b2f20b16a531323582fa12097d957b1069439cf5213eed8aa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7d3d8ad0c3dac94f972b6021196bf6647d8bb853a41e37ca169a5883a3fe5a6",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-14T09:29:49Z",
    "title_canon_sha256": "4d5ff82f14cdcadbee19cec0c675328bb5a3efadae0a13fe53faf995173b4e57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05037",
    "kind": "arxiv",
    "version": 2
  }
}