Pith Number

pith:ZE4KAQXI

pith:2024:ZE4KAQXIGNWUURTYQAOT5SP5PD

not attested not anchored not stored refs pending

Exploring late-time cosmic acceleration: A study of a linear $f(T)$ cosmological model using observational data

A. Zhadyranova, J. Rayimbaev, M. Koussour, S. Bekkhozhayev, V. Zhumabekova

arxiv:2405.07357 v1 · 2024-05-12 · 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{ZE4KAQXIGNWUURTYQAOT5SP5PD}

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	2026-07-05T08:18:21.230038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c938a042e8336d4a4678801d3ec9fd78fee7733b768d6dbe0fa7489b0222d10f

Aliases

arxiv: 2405.07357 · arxiv_version: 2405.07357v1 · doi: 10.48550/arxiv.2405.07357 · pith_short_12: ZE4KAQXIGNWU · pith_short_16: ZE4KAQXIGNWUURTY · pith_short_8: ZE4KAQXI

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/ZE4KAQXIGNWUURTYQAOT5SP5PD \
  | 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: c938a042e8336d4a4678801d3ec9fd78fee7733b768d6dbe0fa7489b0222d10f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d72569b85b77a290bc986a82f9fb7c418d4ee29f9f89689d1188d2765f365256",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-05-12T18:42:20Z",
    "title_canon_sha256": "617aaf62657250c0b5e9bfaba481ac7d10ac51e5eab7b4773ee503101381b01b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.07357",
    "kind": "arxiv",
    "version": 1
  }
}