Pith Number

pith:IRO4WU4K

pith:2012:IRO4WU4KCYXRNQZDUZOMW4N72J

not attested not anchored not stored refs pending

Existence of CR sections for high power of semi-positive generalized Sasakian CR line bundles over generalized Sasakian CR manifolds

Chin-Yu Hsiao

arxiv:1204.4810 v2 · 2012-04-21 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRO4WU4KCYXRNQZDUZOMW4N72J}

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	2026-05-18T02:33:25.727983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

445dcb538a162f16c323a65ccb71bfd247dbd5f0fe9d0f1521221994404062c4

Aliases

arxiv: 1204.4810 · arxiv_version: 1204.4810v2 · doi: 10.48550/arxiv.1204.4810 · pith_short_12: IRO4WU4KCYXR · pith_short_16: IRO4WU4KCYXRNQZD · pith_short_8: IRO4WU4K

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/IRO4WU4KCYXRNQZDUZOMW4N72J \
  | 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: 445dcb538a162f16c323a65ccb71bfd247dbd5f0fe9d0f1521221994404062c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d96f0d05c612e643f5290a570ef89f30698670e8962b789d299e534442e839d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-04-21T13:20:44Z",
    "title_canon_sha256": "848d8ca836d05c8fb1bc6f40a67dfa7c98db4f7ee219dc733d96b941b8ac86b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4810",
    "kind": "arxiv",
    "version": 2
  }
}