Pith Number

pith:EITZBP5C

pith:2021:EITZBP5CASORY5OWHW5ZCO2NLR

not attested not anchored not stored refs pending

A model independent approach to the study of $f(R)$ cosmologies with expansion histories close to $\Lambda$CDM

Kelly MacDevette, Peter Dunsby, Saikat Chakraborty

arxiv:2103.02274 v3 · 2021-03-03 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EITZBP5CASORY5OWHW5ZCO2NLR}

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.

Receipt and verification

First computed	2026-07-05T02:50:44.559931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

222790bfa2049d1c75d63dbb913b4d5c7117582ca409ece7339c071836e5d354

Aliases

arxiv: 2103.02274 · arxiv_version: 2103.02274v3 · doi: 10.48550/arxiv.2103.02274 · pith_short_12: EITZBP5CASOR · pith_short_16: EITZBP5CASORY5OW · pith_short_8: EITZBP5C

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/EITZBP5CASORY5OWHW5ZCO2NLR \
  | 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: 222790bfa2049d1c75d63dbb913b4d5c7117582ca409ece7339c071836e5d354

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3dcb94faf505604fd950d57fd11b22005a118b0d9811f0c7c39916c5d0d5075",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-03-03T09:20:06Z",
    "title_canon_sha256": "da46951a09bbdc1009c8f9eda29924e2d518daeb7b32fecd6f53e60921504337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.02274",
    "kind": "arxiv",
    "version": 3
  }
}