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Pith Number

pith:6Q3YN555

pith:2022:6Q3YN555TUOYMADXADSJI2LFTX
not attested not anchored not stored refs pending

Minimal model program for projective morphisms between complex analytic spaces

Osamu Fujino

arxiv:2201.11315 v1 · 2022-01-27 · math.AG

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Add to your LaTeX paper 
\usepackage{pith}
\pithnumber{6Q3YN555TUOYMADXADSJI2LFTX}

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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

A note on the transcendental basepoint-free conjecture for Calabi-Yau manifolds
Addendum: On generalized canonical bundle formula and boundedness of complements in complex analytic setting
On the Existence of Good Minimal Models for K\"ahler Varieties with Projective Albanese Map
Receipt and verification
First computed 2026-07-05T03:52:01.238757Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f43786f7bd9d1d86007700e49469659dfbccfd2004858f638fe41151ec79976d

Aliases

arxiv: 2201.11315 · arxiv_version: 2201.11315v1 · doi: 10.48550/arxiv.2201.11315 · pith_short_12: 6Q3YN555TUOY · pith_short_16: 6Q3YN555TUOYMADX · pith_short_8: 6Q3YN555
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/6Q3YN555TUOYMADXADSJI2LFTX \
  | 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: f43786f7bd9d1d86007700e49469659dfbccfd2004858f638fe41151ec79976d
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "7eedb5e495b34463cd2170069676a001f4fd9cd42e87034e9cd490e342bca5e2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-01-27T04:21:45Z",
    "title_canon_sha256": "374d0b0b5b0b38220cb35656f52b9815787e76e2f32080455d3210a655c4d79c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.11315",
    "kind": "arxiv",
    "version": 1
  }
}