Pith Number

pith:VSG4D43Y

pith:2013:VSG4D43YRA5QT5TNFEGIEKDJFY

not attested not anchored not stored refs pending

On the ampleness of positive CR line bundles over Levi-flat manifolds

Masanori Adachi

arxiv:1301.5957 v2 · 2013-01-25 · math.CV · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSG4D43YRA5QT5TNFEGIEKDJFY}

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	2026-05-18T02:56:32.851899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac8dc1f378883b09f66d290c8228692e38c0af02eb9decc9d9231fa020b03aaa

Aliases

arxiv: 1301.5957 · arxiv_version: 1301.5957v2 · doi: 10.48550/arxiv.1301.5957 · pith_short_12: VSG4D43YRA5Q · pith_short_16: VSG4D43YRA5QT5TN · pith_short_8: VSG4D43Y

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/VSG4D43YRA5QT5TNFEGIEKDJFY \
  | 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: ac8dc1f378883b09f66d290c8228692e38c0af02eb9decc9d9231fa020b03aaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0e44e2d504125760f346042cd3f2f8795453db64514ddc57d642e8b6e561c3a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-01-25T03:34:14Z",
    "title_canon_sha256": "5e565617d270cb7baffe0351fea4ac35afac0cc4dbbef4bc3175c761f18eaa65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5957",
    "kind": "arxiv",
    "version": 2
  }
}