Pith Number

pith:VRQIDPIU

pith:2015:VRQIDPIULNYWB6SOQA3TJ6NQ7N

not attested not anchored not stored refs pending

Nonexistence of semiorthogonal decompositions and sections of the canonical bundle

Kotaro Kawatani, Shinnosuke Okawa

arxiv:1508.00682 v2 · 2015-08-04 · 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{VRQIDPIULNYWB6SOQA3TJ6NQ7N}

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	2026-05-18T00:06:44.135450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac6081bd145b7160fa4e803734f9b0fb681c2030a32164151fdc417cffa3de1a

Aliases

arxiv: 1508.00682 · arxiv_version: 1508.00682v2 · doi: 10.48550/arxiv.1508.00682 · pith_short_12: VRQIDPIULNYW · pith_short_16: VRQIDPIULNYWB6SO · pith_short_8: VRQIDPIU

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/VRQIDPIULNYWB6SOQA3TJ6NQ7N \
  | 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: ac6081bd145b7160fa4e803734f9b0fb681c2030a32164151fdc417cffa3de1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27afce266e2b8f586745489923dfccebcd71de4581f7fd43547b7026410291f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-04T07:15:25Z",
    "title_canon_sha256": "44b6c1d7a5a88caf7bbed96fda04758eaceefa499a3c017e77947159fc45bb9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00682",
    "kind": "arxiv",
    "version": 2
  }
}