Pith Number

pith:IUO32B7B

pith:2026:IUO32B7B3GUYUVFZOR6DPJN5OK

not attested not anchored not stored refs pending

Foliated Minimal Models and Flops

Calum Spicer, Paolo Cascini, Roktim Mascharak

arxiv:2608.09663 v1 · 2026-08-10 · 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{IUO32B7B3GUYUVFZOR6DPJN5OK}

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	2026-08-11T02:24:46.038607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

451dbd07e1d9a98a54b9747c37a5bd729fe19baa3314e7640a5dac4eb4ab77e8

Aliases

arxiv: 2608.09663 · arxiv_version: 2608.09663v1 · doi: 10.48550/arxiv.2608.09663 · pith_short_12: IUO32B7B3GUY · pith_short_16: IUO32B7B3GUYUVFZ · pith_short_8: IUO32B7B

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/IUO32B7B3GUYUVFZOR6DPJN5OK \
  | 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: 451dbd07e1d9a98a54b9747c37a5bd729fe19baa3314e7640a5dac4eb4ab77e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3683cf4c2a99426be442cd450303f5f1d2173ac2007c5ed8efb27fb8401800d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-10T14:40:08Z",
    "title_canon_sha256": "ea520f01be7535ee0ac03745b1c5b123961e970634656227a626503ee64e7a2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09663",
    "kind": "arxiv",
    "version": 1
  }
}