Pith Number

pith:5N4NPY6W

pith:2021:5N4NPY6WHZQLR5T4DWN6LKICKR

not attested not anchored not stored refs pending

Fractional-order derivatives in cosmological models of accelerated expansion

V. K. Shchigolev

arxiv:2104.12610 v1 · 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{5N4NPY6WHZQLR5T4DWN6LKICKR}

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

Cosmology of fractional gravity

Receipt and verification

First computed	2026-07-05T02:40:34.687702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb78d7e3d63e60b8f67c1d9be5a902545530c26d21fa9f4e7a563780977bec84

Aliases

arxiv: 2104.12610 · arxiv_version: 2104.12610v1 · doi: 10.48550/arxiv.2104.12610 · pith_short_12: 5N4NPY6WHZQL · pith_short_16: 5N4NPY6WHZQLR5T4 · pith_short_8: 5N4NPY6W

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/5N4NPY6WHZQLR5T4DWN6LKICKR \
  | 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: eb78d7e3d63e60b8f67c1d9be5a902545530c26d21fa9f4e7a563780977bec84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "087cc5b5307cbe94238bf524cc6a1b968306d2e29efcc07bf31c42af0197402a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-04-26T14:23:25Z",
    "title_canon_sha256": "5c7f8753bf1473babd15ed8d10e197419b003826efe481bbd938b396970d506e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.12610",
    "kind": "arxiv",
    "version": 1
  }
}