Pith Number

pith:KE4WBULF

pith:2014:KE4WBULFBD36RDDWN2SCBRBT37

not attested not anchored not stored refs pending

Isotropic Expansion of Inhomogeneous Universe

H. Lu, Wei-Jian Geng

arxiv:1407.0728 v2 · 2014-07-02 · hep-th · 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{KE4WBULFBD36RDDWN2SCBRBT37}

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	2026-05-18T02:40:10.227232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

513960d16508f7e88c766ea420c433dff88db9bb0bbb82a9d7598c645a8340a7

Aliases

arxiv: 1407.0728 · arxiv_version: 1407.0728v2 · doi: 10.48550/arxiv.1407.0728 · pith_short_12: KE4WBULFBD36 · pith_short_16: KE4WBULFBD36RDDW · pith_short_8: KE4WBULF

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/KE4WBULFBD36RDDWN2SCBRBT37 \
  | 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: 513960d16508f7e88c766ea420c433dff88db9bb0bbb82a9d7598c645a8340a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c572691db468c1e67a4df9ba80bfbea6054775b6bdd34d91dc088969ecbe301f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-07-02T21:36:19Z",
    "title_canon_sha256": "0b0ac32ade9689799dd2320de10abcf3dc8a817088c2febf2df8512a71e71bd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0728",
    "kind": "arxiv",
    "version": 2
  }
}