Pith Number

pith:ZOA4ODGO

pith:2018:ZOA4ODGOPLTRHT35AWVDTJEC6P

not attested not anchored not stored refs pending

Cosmological singularities in interacting dark energy models with an $\omega(q)$ parametrization

Emilio Elizalde, Martiros Khurshudyan, Shin'ichi Nojiri

arxiv:1809.01961 v1 · 2018-09-06 · gr-qc · astro-ph.CO · 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{ZOA4ODGOPLTRHT35AWVDTJEC6P}

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	2026-05-17T23:55:55.265672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb81c70cce7ae713cf7d05aa39a482f3ebfc195ee13d173780ac9ef3bb8e99dc

Aliases

arxiv: 1809.01961 · arxiv_version: 1809.01961v1 · doi: 10.48550/arxiv.1809.01961 · pith_short_12: ZOA4ODGOPLTR · pith_short_16: ZOA4ODGOPLTRHT35 · pith_short_8: ZOA4ODGO

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/ZOA4ODGOPLTRHT35AWVDTJEC6P \
  | 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: cb81c70cce7ae713cf7d05aa39a482f3ebfc195ee13d173780ac9ef3bb8e99dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "919cc5b22dc9a7b6c95c85aa2908860414a2976ecf7243778d872e47a033fd93",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-09-06T13:11:16Z",
    "title_canon_sha256": "91a8501f7dea9a4315ad097b73a89025f178e9ac43055e3ea7920cdbe82a7c39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01961",
    "kind": "arxiv",
    "version": 1
  }
}