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Pith Number

pith:72ATLLLD

pith:2013:72ATLLLDWYK3R6QNUF43VMIBFR
not attested not anchored not stored refs pending

Cosmological dynamics of $f(R)$ gravity scalar degree of freedom in Einstein frame

Kabita Deka, Umananda Dev Goswami

arxiv:1303.5868 v2 · 2013-03-23 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{72ATLLLDWYK3R6QNUF43VMIBFR}

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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 2026-05-18T03:15:07.517159Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fe8135ad63b615b8fa0da179bab1012c70a52147dc44e325b51e7c2c5425b883

Aliases

arxiv: 1303.5868 · arxiv_version: 1303.5868v2 · doi: 10.48550/arxiv.1303.5868 · pith_short_12: 72ATLLLDWYK3 · pith_short_16: 72ATLLLDWYK3R6QN · pith_short_8: 72ATLLLD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/72ATLLLDWYK3R6QNUF43VMIBFR \
  | 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: fe8135ad63b615b8fa0da179bab1012c70a52147dc44e325b51e7c2c5425b883
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "800f6383d41e2ba8eceb568068fe10c0de0e5d5f027e5f8b09738e6bf24d8cbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-03-23T17:44:30Z",
    "title_canon_sha256": "cdeb61127357141a4afc2c014b5b97e1a0118fbd75c1e1d175187a92f6d7f7a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5868",
    "kind": "arxiv",
    "version": 2
  }
}