Pith Number

pith:WZE5X4ED

pith:2006:WZE5X4EDH3LKB7KI65LCGQ2TI4

not attested not anchored not stored refs pending

Cosmological Models of Universe with Variable Deceleration Parameter in Lyra's Manifold

A. Pradhan, C. B. Singh, J. P. Shahi

arxiv:gr-qc/0608070 v2 · 2006-08-14 · 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{WZE5X4EDH3LKB7KI65LCGQ2TI4}

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	2026-05-18T01:39:20.041675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b649dbf0833ed6a0fd48f756234353473c5f40490bfb4eb0048e94eb357e9d5d

Aliases

arxiv: gr-qc/0608070 · arxiv_version: gr-qc/0608070v2 · doi: 10.48550/arxiv.gr-qc/0608070 · pith_short_12: WZE5X4EDH3LK · pith_short_16: WZE5X4EDH3LKB7KI · pith_short_8: WZE5X4ED

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/WZE5X4EDH3LKB7KI65LCGQ2TI4 \
  | 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: b649dbf0833ed6a0fd48f756234353473c5f40490bfb4eb0048e94eb357e9d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e4e647da5731d99d0314c98169c47f8ab894f6e7afb0a9b7434db0fa93dcddc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-08-14T11:23:26Z",
    "title_canon_sha256": "33f5d501a9175dfccde98b6b7bfe84f370ece6cbdf9a98d2fd88eee9b07beadc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0608070",
    "kind": "arxiv",
    "version": 2
  }
}