Pith Number

pith:XVN5BWEY

pith:2015:XVN5BWEYJHQOU6RASNWAL5X665

not attested not anchored not stored refs pending

Vanishing and semipositivity theorems for semi-log canonical pairs

Osamu Fujino

arxiv:1509.00531 v4 · 2015-09-02 · 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{XVN5BWEYJHQOU6RASNWAL5X665}

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	2026-05-18T00:23:17.358840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd5bd0d89849e0ea7a20936c05f6fef741673855ffcfef8dbdbef04c992ca0c9

Aliases

arxiv: 1509.00531 · arxiv_version: 1509.00531v4 · doi: 10.48550/arxiv.1509.00531 · pith_short_12: XVN5BWEYJHQO · pith_short_16: XVN5BWEYJHQOU6RA · pith_short_8: XVN5BWEY

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/XVN5BWEYJHQOU6RASNWAL5X665 \
  | 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: bd5bd0d89849e0ea7a20936c05f6fef741673855ffcfef8dbdbef04c992ca0c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c3417f7535c735bfab266bf193f0bcec9248656d52874d63be99a41cb0a2f4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-02T00:28:43Z",
    "title_canon_sha256": "25cde1c2616fc67e9a9611da9f50d86fadcfbb8e006e3ea0af50138fc07e94d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00531",
    "kind": "arxiv",
    "version": 4
  }
}