Pith Number

pith:T7D7FH4B

pith:2019:T7D7FH4BKXYAE3HKBQBFTDLJYV

not attested not anchored not stored refs pending

The Phase Space of $k$-Essence $f(R)$ Gravity Theory

N. Chatzarakis, V.K. Oikonomou

arxiv:1905.01904 v1 · 2019-05-06 · 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{T7D7FH4BKXYAE3HKBQBFTDLJYV}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T01:03:59.012928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fc7f29f8155f0026cea0c02598d69c554604ca23e4d27e460f29a2e59957b5f

Aliases

arxiv: 1905.01904 · arxiv_version: 1905.01904v1 · doi: 10.48550/arxiv.1905.01904 · pith_short_12: T7D7FH4BKXYA · pith_short_16: T7D7FH4BKXYAE3HK · pith_short_8: T7D7FH4B

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/T7D7FH4BKXYAE3HKBQBFTDLJYV \
  | 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: 9fc7f29f8155f0026cea0c02598d69c554604ca23e4d27e460f29a2e59957b5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bfba05ffe641db6389af66a8a6f347facbd2cb6bc7c3177d49b8860a08f942e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-05-06T09:52:01Z",
    "title_canon_sha256": "2c9833b641614fa73aa62ae49930ccd9db43466ef885bee70ab8f67d858a6c87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01904",
    "kind": "arxiv",
    "version": 1
  }
}