Pith Number

pith:CVNY7QT4

pith:2020:CVNY7QT4L5742CPIX6WYIK6A2I

not attested not anchored not stored refs pending

Extending Friedmann equations using fractional derivatives using a Last Step Modification technique: the case of a matter dominated accelerated expanding Universe

E. Barrientos, P. Padilla, S. Mendoza

arxiv:2012.03446 v2 · 2020-12-07 · 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{CVNY7QT4L5742CPIX6WYIK6A2I}

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	2026-07-05T02:08:51.128568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

155b8fc27c5f7fcd09e8bfad842bc0d21f6d7dbcb02df872b75cdee1247e9b8f

Aliases

arxiv: 2012.03446 · arxiv_version: 2012.03446v2 · doi: 10.48550/arxiv.2012.03446 · pith_short_12: CVNY7QT4L574 · pith_short_16: CVNY7QT4L5742CPI · pith_short_8: CVNY7QT4

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/CVNY7QT4L5742CPIX6WYIK6A2I \
  | 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: 155b8fc27c5f7fcd09e8bfad842bc0d21f6d7dbcb02df872b75cdee1247e9b8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c3eeb76bd634b4b89fa56fbc51fbe572098208f8dd2989a34f36e60952febc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-12-07T04:48:44Z",
    "title_canon_sha256": "e167be3eb821f447794671b2b238105243669b4739e0c859adedd0a17b72e92f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.03446",
    "kind": "arxiv",
    "version": 2
  }
}