Pith Number

pith:3Q2RTNKW

pith:2016:3Q2RTNKWPSQWXPZDQ5DVHLYVTZ

not attested not anchored not stored refs pending

Existence of constant mean curvature foliation in the extended Schwarzschild spacetime

Kuo-Wei Lee

arxiv:1607.07569 v1 · 2016-07-26 · math.DG · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Q2RTNKWPSQWXPZDQ5DVHLYVTZ}

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	2026-05-18T01:00:45.178996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc3519b5567ca16bbf23874753af159e66660afa147c906f5bce1568bc4f74e1

Aliases

arxiv: 1607.07569 · arxiv_version: 1607.07569v1 · doi: 10.48550/arxiv.1607.07569 · pith_short_12: 3Q2RTNKWPSQW · pith_short_16: 3Q2RTNKWPSQWXPZD · pith_short_8: 3Q2RTNKW

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/3Q2RTNKWPSQWXPZDQ5DVHLYVTZ \
  | 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: dc3519b5567ca16bbf23874753af159e66660afa147c906f5bce1568bc4f74e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dace9f1f9a397dc47bf39713d2adfd83ba6f626798233ef3ca39687d2879359",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-26T07:32:26Z",
    "title_canon_sha256": "0a51c8b110794f680abe327358aead4c8a0f16065878889a54b3964ddc5c8049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07569",
    "kind": "arxiv",
    "version": 1
  }
}