Pith Number

pith:H77DOZNR

pith:2013:H77DOZNRCYVVGU26WL3I4QZQAF

not attested not anchored not stored refs pending

f(R,T) Cosmological Models in Phase Space

Hamid Shabani, Mehrdad Farhoudi

arxiv:1306.3164 v4 · 2013-06-13 · gr-qc · astro-ph.CO · hep-th · math-ph · math.MP · physics.space-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H77DOZNRCYVVGU26WL3I4QZQAF}

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

Comparative Study of Early-Universe Epochs in an $f(R,L_m)$ Gravity Model with Effective Curvature--Matter Interaction and $\Lambda$CDM Cosmology

Dynamical system analysis of the cosmological phases in Palatini $k$-essence gravity

Receipt and verification

First computed	2026-05-18T00:44:10.333035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ffe3765b1162b53535eb2f68e4330017337c0ae1255ede780e60f6883e8b1be

Aliases

arxiv: 1306.3164 · arxiv_version: 1306.3164v4 · doi: 10.48550/arxiv.1306.3164 · pith_short_12: H77DOZNRCYVV · pith_short_16: H77DOZNRCYVVGU26 · pith_short_8: H77DOZNR

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/H77DOZNRCYVVGU26WL3I4QZQAF \
  | 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: 3ffe3765b1162b53535eb2f68e4330017337c0ae1255ede780e60f6883e8b1be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "318c9bb4d0bd639aaa5b60f6b01d1d6ec59c270767e747f76efcd0837a657940",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th",
      "math-ph",
      "math.MP",
      "physics.space-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-06-13T16:55:24Z",
    "title_canon_sha256": "1a86cc0083a7489387012313564154bddc4d199799f9a02efdd17937a541d522"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3164",
    "kind": "arxiv",
    "version": 4
  }
}