Pith Number

pith:OCU5C5BQ

pith:2023:OCU5C5BQRMR5T2A3URI5CYZWUE

not attested not anchored not stored refs pending

On the strong Sarkisov program

Yang He

arxiv:2311.08750 v2 · 2023-11-15 · 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{OCU5C5BQRMR5T2A3URI5CYZWUE}

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

1 paper in Pith

Effective termination of general type MMPs in dimension at most five

Receipt and verification

First computed	2026-07-05T09:19:52.890911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70a9d174308b23d9e81ba451d16336a1387031249eaf75425176e9e2155d6d4e

Aliases

arxiv: 2311.08750 · arxiv_version: 2311.08750v2 · doi: 10.48550/arxiv.2311.08750 · pith_short_12: OCU5C5BQRMR5 · pith_short_16: OCU5C5BQRMR5T2A3 · pith_short_8: OCU5C5BQ

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/OCU5C5BQRMR5T2A3URI5CYZWUE \
  | 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: 70a9d174308b23d9e81ba451d16336a1387031249eaf75425176e9e2155d6d4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae9b90a1b61501b5f8a7660847531bb01e656e2b3e7f63537e0b901520b34cf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-11-15T07:35:51Z",
    "title_canon_sha256": "6b47879f75964ef8e36e41bc7ada0afae8f945d8af15819ae4fb81c95a53fb0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.08750",
    "kind": "arxiv",
    "version": 2
  }
}