Pith Number

pith:YRZDERCJ

pith:2025:YRZDERCJ37UZ63IJGGNP6BCHV4

not attested not anchored not stored refs pending

The number of smooth varieties in an MMP on a 3-fold of Fano type

Donghyeon Kim

arxiv:2502.01370 v3 · 2025-02-03 · 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{YRZDERCJ37UZ63IJGGNP6BCHV4}

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	2026-06-02T02:04:05.071731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c472324449dfe99f6d09319aff0447af1046d1dc85a432b056035f6973c79d25

Aliases

arxiv: 2502.01370 · arxiv_version: 2502.01370v3 · doi: 10.48550/arxiv.2502.01370 · pith_short_12: YRZDERCJ37UZ · pith_short_16: YRZDERCJ37UZ63IJ · pith_short_8: YRZDERCJ

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/YRZDERCJ37UZ63IJGGNP6BCHV4 \
  | 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: c472324449dfe99f6d09319aff0447af1046d1dc85a432b056035f6973c79d25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cee76f1ef353f5726fce2bf973bc687e6378b15c622ad8ac7eef5ab889273e5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-02-03T14:02:45Z",
    "title_canon_sha256": "d1ff03d2aea3d18e0666f29590d01207ab87c6483dfe0704eec8c5bd1d02a75e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01370",
    "kind": "arxiv",
    "version": 3
  }
}