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Pith Number

pith:5X4MH3IY

pith:2018:5X4MH3IY2OIB6TY27A4CPL4BQG
not attested not anchored not stored refs pending

Dynamical Systems Perspective of Cosmological Finite-time Singularities in $f(R)$ Gravity and Interacting Multifluid Cosmology

S.D. Odintsov, V.K. Oikonomou

arxiv:1806.07295 v1 · 2018-06-19 · gr-qc · astro-ph.CO · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5X4MH3IY2OIB6TY27A4CPL4BQG}

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

2 papers in Pith

Receipt and verification
First computed 2026-05-18T00:09:24.382093Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

edf8c3ed18d3901f4f1af83827af81818df8d9c246786953841797bfb8ca0b4b

Aliases

arxiv: 1806.07295 · arxiv_version: 1806.07295v1 · doi: 10.48550/arxiv.1806.07295 · pith_short_12: 5X4MH3IY2OIB · pith_short_16: 5X4MH3IY2OIB6TY2 · pith_short_8: 5X4MH3IY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5X4MH3IY2OIB6TY27A4CPL4BQG \
  | 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: edf8c3ed18d3901f4f1af83827af81818df8d9c246786953841797bfb8ca0b4b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d06b3689ec20422ed6148cc89eae4be600bb57ffc2c36e006de10b5b89a48839",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-06-19T14:55:59Z",
    "title_canon_sha256": "43760fb510082de14c910acca94bc6afb0d77307a415a08d0b5568b43ebee7b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07295",
    "kind": "arxiv",
    "version": 1
  }
}