Pith Number

pith:LQRQM23I

pith:2013:LQRQM23IXWD6LWQMMVSFAXQAL4

not attested not anchored not stored refs pending

The Obata sphere theorems on a quaternionic contact manifold of dimension bigger than seven

Alexander Petkov, Dimiter Vassilev, Stefan Ivanov

arxiv:1303.0409 v2 · 2013-03-02 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQRQM23IXWD6LWQMMVSFAXQAL4}

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	2026-05-18T03:28:45.357249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c23066b68bd87e5da0c6564505e005f0b8ae047465567ad261f2388fd60b27e

Aliases

arxiv: 1303.0409 · arxiv_version: 1303.0409v2 · doi: 10.48550/arxiv.1303.0409 · pith_short_12: LQRQM23IXWD6 · pith_short_16: LQRQM23IXWD6LWQM · pith_short_8: LQRQM23I

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/LQRQM23IXWD6LWQMMVSFAXQAL4 \
  | 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: 5c23066b68bd87e5da0c6564505e005f0b8ae047465567ad261f2388fd60b27e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f60a4e2d4fcf75d6f4272211ac71968683900e55358b06a028b8adbb48a2ac63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-02T18:04:04Z",
    "title_canon_sha256": "4299eab45da6374c8c4ce5f3d2f0b864046953b7c7708a8f062bf2e391830b82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0409",
    "kind": "arxiv",
    "version": 2
  }
}