Pith Number

pith:73ZO3SJ5

pith:2025:73ZO3SJ5PCIV7L4Y56G2OWMQ7O

not attested not anchored not stored refs pending

On finite generation and boundedness of adjoint foliated structures

Calum Spicer, Fanjun Meng, Jihao Liu, Jingjun Han, Lingyao Xie, Paolo Cascini, Roberto Svaldi

arxiv:2504.10737 v1 · 2025-04-14 · 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{73ZO3SJ5PCIV7L4Y56G2OWMQ7O}

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.

Cited by

3 papers in Pith

K-stability of adjoint foliated structures

Birational boundedness of stable families

Recent progress on the Minimal Model Program for foliations

Receipt and verification

First computed	2026-07-05T10:49:23.314835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fef2edc93d78915faf98ef8da75990fbbfe417d140e1b7a43d21aaa3fa4fdd80

Aliases

arxiv: 2504.10737 · arxiv_version: 2504.10737v1 · doi: 10.48550/arxiv.2504.10737 · pith_short_12: 73ZO3SJ5PCIV · pith_short_16: 73ZO3SJ5PCIV7L4Y · pith_short_8: 73ZO3SJ5

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/73ZO3SJ5PCIV7L4Y56G2OWMQ7O \
  | 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: fef2edc93d78915faf98ef8da75990fbbfe417d140e1b7a43d21aaa3fa4fdd80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb1720f50277cafc304356b3effa72db90992f413af7b4995c7e960fa42e1f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-04-14T22:10:28Z",
    "title_canon_sha256": "0acca0eeb6f17b2aec315ca57a5d47e50b7e0fe65d9ea074c36604cf9e6b1d63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.10737",
    "kind": "arxiv",
    "version": 1
  }
}