Pith Number

pith:FKNOTHTT

pith:2021:FKNOTHTTRYMJJ2GVRDJ5ZCWQPL

not attested not anchored not stored refs pending

Cosmological dynamics of interacting dark energy and dark matter in viable models of f(R) gravity

Bhuddhanubhap Silasan (Khon Kaen U.), Daris Samart (Khon Kaen U.), Phongpichit Channuie (Walailak U.)

arxiv:2104.12687 v2 · 2021-04-26 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKNOTHTTRYMJJ2GVRDJ5ZCWQPL}

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

Is Dark Energy an Effective Manifestation of Non-equilibrium Thermodynamics? -- Insights from DESI

Receipt and verification

First computed	2026-07-05T03:16:14.184757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a9ae99e738e1894e8d588d3dc8ad07affb7b532681f905ae0539eb315da678a

Aliases

arxiv: 2104.12687 · arxiv_version: 2104.12687v2 · doi: 10.48550/arxiv.2104.12687 · pith_short_12: FKNOTHTTRYMJ · pith_short_16: FKNOTHTTRYMJJ2GV · pith_short_8: FKNOTHTT

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/FKNOTHTTRYMJJ2GVRDJ5ZCWQPL \
  | 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: 2a9ae99e738e1894e8d588d3dc8ad07affb7b532681f905ae0539eb315da678a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f52663e177115c7bd43de45767844e9aefb66070ecc42a83bc78483fc6be34db",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-04-26T16:27:52Z",
    "title_canon_sha256": "a002eb99290b8f6934de89a5e8bacad2dee5fff35d7eddfebbbf274cf8a80e22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.12687",
    "kind": "arxiv",
    "version": 2
  }
}