Pith Number

pith:544NZBJA

pith:2026:544NZBJAOROXCMEUHGUDX4245E

not attested not anchored not stored refs pending

Hybrid Expansion Cosmology in f(T) Gravity: Late-Time Evolution and Observational Bounds

Rajalakshmi Jena, Sankarsan Tarai, Vishal M C

arxiv:2605.27196 v1 · 2026-05-26 · 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{544NZBJAOROXCMEUHGUDX4245E}

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	2026-05-27T02:05:47.600661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef38dc8520745d71309439a83bf35ce932013eef7d4025266eec88c0c4c7ac09

Aliases

arxiv: 2605.27196 · arxiv_version: 2605.27196v1 · doi: 10.48550/arxiv.2605.27196 · pith_short_12: 544NZBJAOROX · pith_short_16: 544NZBJAOROXCMEU · pith_short_8: 544NZBJA

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/544NZBJAOROXCMEUHGUDX4245E \
  | 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: ef38dc8520745d71309439a83bf35ce932013eef7d4025266eec88c0c4c7ac09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39867d758c429101b98dcbc869ea6d1e2d1399a8322f30255cc81e2c48b2b8fa",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-26T15:49:48Z",
    "title_canon_sha256": "c0fe19b40c6c45eee2e68e68b9a333ea95fc85d814ce9d387b5c67ff5318d167"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27196",
    "kind": "arxiv",
    "version": 1
  }
}