Pith Number

pith:KBL3M6CO

pith:2026:KBL3M6COOLFDRMBK6PYEIEIPQB

not attested not anchored not stored refs pending

Reconstructing the cosmic expansion in $f(R, L_{m})$ gravity via parametrized Hubble function constraints

G. P. Singh, Khomesh R. Patle

arxiv:2605.27324 v1 · 2026-05-26 · 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{KBL3M6COOLFDRMBK6PYEIEIPQB}

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	2026-05-27T02:06:18.138867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5057b6784e72ca38b02af3f044110f807d1f15df48cb3f3a5de007fc1eb2ddd2

Aliases

arxiv: 2605.27324 · arxiv_version: 2605.27324v1 · doi: 10.48550/arxiv.2605.27324 · pith_short_12: KBL3M6COOLFD · pith_short_16: KBL3M6COOLFDRMBK · pith_short_8: KBL3M6CO

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/KBL3M6COOLFDRMBK6PYEIEIPQB \
  | 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: 5057b6784e72ca38b02af3f044110f807d1f15df48cb3f3a5de007fc1eb2ddd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaeacbbc0d882e76e753568999362c3bbcc7256875481c51b1928bd8f97b4e39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-26T17:34:09Z",
    "title_canon_sha256": "497f77e7596bc8a843aa660661adc627aced0b27c3a53d4ce723de7531ec7c9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27324",
    "kind": "arxiv",
    "version": 1
  }
}