Pith Number

pith:QJ6WKQ7D

pith:2012:QJ6WKQ7DQYNHQ63QAJIXIXGQ4K

not attested not anchored not stored refs pending

Turbulence and Little Rip Cosmology

I. Brevik, R. Myrzakulov, S. D. Odintsov, S. Nojiri

arxiv:1208.4770 v1 · 2012-08-23 · 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{QJ6WKQ7DQYNHQ63QAJIXIXGQ4K}

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.

Cited by

1 paper in Pith

Finite scale factor and future singularities

Receipt and verification

First computed	2026-05-18T03:44:59.968684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

827d6543e3861a787b700251745cd0e2883010cdcc6dbdc0a4d3803838e9438b

Aliases

arxiv: 1208.4770 · arxiv_version: 1208.4770v1 · doi: 10.48550/arxiv.1208.4770 · pith_short_12: QJ6WKQ7DQYNH · pith_short_16: QJ6WKQ7DQYNHQ63Q · pith_short_8: QJ6WKQ7D

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/QJ6WKQ7DQYNHQ63QAJIXIXGQ4K \
  | 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: 827d6543e3861a787b700251745cd0e2883010cdcc6dbdc0a4d3803838e9438b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8ce0b16cbecf2beeea9434af4726aef4f4a3ba5976957cbd99704bfe4452cd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-23T14:40:00Z",
    "title_canon_sha256": "c328ff6c3a92e9ed6de5de2648e7e7fe19b11a8c64b61ea25a199e2d1e99c32d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4770",
    "kind": "arxiv",
    "version": 1
  }
}