Pith Number

pith:4V566WQR

pith:2024:4V566WQRV7YVZ6SQAIMYCAHRTM

not attested not anchored not stored refs pending

On the divisorial contractions to curves of threefolds

Hsin-Ku Chen, Jheng-Jie Chen, Jungkai A. Chen

arxiv:2411.16146 v1 · 2024-11-25 · 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{4V566WQRV7YVZ6SQAIMYCAHRTM}

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	2026-07-05T09:40:05.161666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e57bef5a11aff15cfa5002198100f19b31179a576436a6f8010fa6fab9a0ea2c

Aliases

arxiv: 2411.16146 · arxiv_version: 2411.16146v1 · doi: 10.48550/arxiv.2411.16146 · pith_short_12: 4V566WQRV7YV · pith_short_16: 4V566WQRV7YVZ6SQ · pith_short_8: 4V566WQR

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/4V566WQRV7YVZ6SQAIMYCAHRTM \
  | 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: e57bef5a11aff15cfa5002198100f19b31179a576436a6f8010fa6fab9a0ea2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d77859516fb106bb1f4bc25642105554450dd360913295e7b0aa395a89893ae0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-11-25T07:13:16Z",
    "title_canon_sha256": "f8f0ecd282f9b61d012aaaecdddae3114e829f8113ef450c5d70fae6633a2a0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16146",
    "kind": "arxiv",
    "version": 1
  }
}