Pith Number

pith:CVUJPWY5

pith:2014:CVUJPWY5W7KUREMREOY4AWT4CJ

not attested not anchored not stored refs pending

Kullback-Leibler entropy and Penrose conjecture in the Lemaitre-Tolman-Bondi model

Nan Li, Shu-Peng Song, Xiao-Long Li

arxiv:1411.4368 v2 · 2014-11-17 · 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{CVUJPWY5W7KUREMREOY4AWT4CJ}

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	2026-05-18T02:22:29.124852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

156897db1db7d548919123b1c05a7c124f0c0d2925e438fb741de22d4562ff4c

Aliases

arxiv: 1411.4368 · arxiv_version: 1411.4368v2 · doi: 10.48550/arxiv.1411.4368 · pith_short_12: CVUJPWY5W7KU · pith_short_16: CVUJPWY5W7KUREMR · pith_short_8: CVUJPWY5

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/CVUJPWY5W7KUREMREOY4AWT4CJ \
  | 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: 156897db1db7d548919123b1c05a7c124f0c0d2925e438fb741de22d4562ff4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21fec4943fe206592e04dcf53a9c4a54df9669e7d050c5a3570bffedac79f6d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-11-17T05:46:26Z",
    "title_canon_sha256": "6cb2eda8c6aa3697bc3fc8f6b3014fafc19603c79176ceffd4fd4f5129184575"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4368",
    "kind": "arxiv",
    "version": 2
  }
}