Pith Number

pith:FB3P4G6N

pith:2023:FB3P4G6NOPKZ66TKAJKBKYTHLV

not attested not anchored not stored refs pending

Nakayama-Zariski decomposition and the termination of flips

Vladimir Lazi\'c, Zhixin Xie

arxiv:2305.01752 v4 · 2023-05-02 · 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{FB3P4G6NOPKZ66TKAJKBKYTHLV}

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	2026-05-20T14:03:16.536945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2876fe1bcd73d59f7a6a02541562675d45021f1b1e8e778a45eb6bc133fd8484

Aliases

arxiv: 2305.01752 · arxiv_version: 2305.01752v4 · doi: 10.48550/arxiv.2305.01752 · pith_short_12: FB3P4G6NOPKZ · pith_short_16: FB3P4G6NOPKZ66TK · pith_short_8: FB3P4G6N

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/FB3P4G6NOPKZ66TKAJKBKYTHLV \
  | 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: 2876fe1bcd73d59f7a6a02541562675d45021f1b1e8e778a45eb6bc133fd8484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a4ffadd2edc52ec0b7cf301462b3c615539d384e2ae99e3bb0d8aa60d650856",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-05-02T19:36:48Z",
    "title_canon_sha256": "4c103c339dccc704c3625718b3ebf52a4f81e059cbb7117a50d618c702196296"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.01752",
    "kind": "arxiv",
    "version": 4
  }
}