Pith Number

pith:EC7SAJ6G

pith:2014:EC7SAJ6GSZTARHRZP43NBDFDME

not attested not anchored not stored refs pending

Yet another proof of Hawking and Ellis's Lemma 8.5.5

S. Krasnikov

arxiv:1407.0340 v2 · 2014-07-01 · 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{EC7SAJ6GSZTARHRZP43NBDFDME}

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	2026-05-18T01:42:42.937233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20bf2027c69666089e397f36d08ca361350b4b3d63ac4a3d1fdd987edba6f083

Aliases

arxiv: 1407.0340 · arxiv_version: 1407.0340v2 · doi: 10.48550/arxiv.1407.0340 · pith_short_12: EC7SAJ6GSZTA · pith_short_16: EC7SAJ6GSZTARHRZ · pith_short_8: EC7SAJ6G

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/EC7SAJ6GSZTARHRZP43NBDFDME \
  | 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: 20bf2027c69666089e397f36d08ca361350b4b3d63ac4a3d1fdd987edba6f083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3823b29ca153d3ff4e5b037eb0df1728b6217e1ed55337a5b8ca20aa6863b5c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-07-01T18:11:38Z",
    "title_canon_sha256": "c4ccd9f3d0fc5796e954c2386e89a61d21b4ac2249e077d22b2d9ada141bc5eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0340",
    "kind": "arxiv",
    "version": 2
  }
}