Pith Number

pith:MB67BUYS

pith:2016:MB67BUYSSUIWSPQOPA4O4FUOOP

not attested not anchored not stored refs pending

Brendle's inequality on static manifolds

Xiaodong Wang, Ye-Kai Wang

arxiv:1603.00379 v1 · 2016-03-01 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MB67BUYSSUIWSPQOPA4O4FUOOP}

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	2026-05-18T00:01:32.402903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607df0d3129511693e0e7838ee168e73f1afcac8d5b4a43e03484b8c16d5c6f7

Aliases

arxiv: 1603.00379 · arxiv_version: 1603.00379v1 · doi: 10.48550/arxiv.1603.00379 · pith_short_12: MB67BUYSSUIW · pith_short_16: MB67BUYSSUIWSPQO · pith_short_8: MB67BUYS

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/MB67BUYSSUIWSPQOPA4O4FUOOP \
  | 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: 607df0d3129511693e0e7838ee168e73f1afcac8d5b4a43e03484b8c16d5c6f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99c40da3a105b61075e51167b95efae2731520d46475167158e4ab7178ba03e6",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-03-01T17:50:41Z",
    "title_canon_sha256": "3b6ced96af15fbf28e0c4360bf1e4790e1f3d10a65cc99f9f99db70950cb6264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00379",
    "kind": "arxiv",
    "version": 1
  }
}