Pith Number

pith:M52HSMVI

pith:2011:M52HSMVIXUEVTXMAAABWGWHJBO

not attested not anchored not stored refs pending

The Little Rip

Kevin J. Ludwick, Paul H. Frampton, Robert J. Scherrer

arxiv:1106.4996 v1 · 2011-06-24 · astro-ph.CO · gr-qc · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M52HSMVIXUEVTXMAAABWGWHJBO}

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

4 papers in Pith

Effective Phantom Dark Energy: What Cosmological Reconstruction Does and Does Not Imply

$\Lambda$CDM-like models with future singularities

Finite scale factor and future singularities

A Spectrum of Cosmological Rips and Their Observational Signatures

Receipt and verification

First computed	2026-05-18T02:01:31.047232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67747932a8bd0959dd8000036358e90b955224996573dad390034f8dd4581537

Aliases

arxiv: 1106.4996 · arxiv_version: 1106.4996v1 · doi: 10.48550/arxiv.1106.4996 · pith_short_12: M52HSMVIXUEV · pith_short_16: M52HSMVIXUEVTXMA · pith_short_8: M52HSMVI

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/M52HSMVIXUEVTXMAAABWGWHJBO \
  | 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: 67747932a8bd0959dd8000036358e90b955224996573dad390034f8dd4581537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cceeed35eda8f98c6a54428be3d2e171f22785be80c86ab8e98972743881493",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-06-24T15:30:46Z",
    "title_canon_sha256": "35b6e210d2a1d3d0388f9bff2ebd6a6bd70d9da63d473dda07c3926e0a73ebf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4996",
    "kind": "arxiv",
    "version": 1
  }
}