Pith Number

pith:N6G4PUP5

pith:2025:N6G4PUP53HHNB7F67AXQHRUWHN

not attested not anchored not stored refs pending

Dynamical Iitaka theory on Fano contractions

Long Wang, Sheng Meng, Tianle Yang

arxiv:2506.16057 v1 · 2025-06-19 · math.AG · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N6G4PUP53HHNB7F67AXQHRUWHN}

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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

1 paper in Pith

Log Calabi--Yau structure for endomorphisms on $\mathbf{P}^n$

Receipt and verification

First computed	2026-07-05T11:24:29.544292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f8dc7d1fdd9ced0fcbef82f03c6963b7d03106b5291274f312e0f12e98a075b

Aliases

arxiv: 2506.16057 · arxiv_version: 2506.16057v1 · doi: 10.48550/arxiv.2506.16057 · pith_short_12: N6G4PUP53HHN · pith_short_16: N6G4PUP53HHNB7F6 · pith_short_8: N6G4PUP5

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/N6G4PUP53HHNB7F67AXQHRUWHN \
  | 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: 6f8dc7d1fdd9ced0fcbef82f03c6963b7d03106b5291274f312e0f12e98a075b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c86f8c884369c8ab8d0ff6c97c1d09e09e8529152e788fc907507783db586168",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-19T06:31:52Z",
    "title_canon_sha256": "948c9dc70289279a698e9d277386fc396c3095a70a007bac459b04d306ab9600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16057",
    "kind": "arxiv",
    "version": 1
  }
}