Pith Number

pith:M6XRJBPX

pith:2026:M6XRJBPXWJWA22U3UR4RX6AMHZ

not attested not anchored not stored refs pending

Exact vacuum FLRW solutions in $q$-deformed Brans-Dicke cosmology

Mustafa Senay, Salih Kibaro\u{g}lu

arxiv:2606.19563 v1 · 2026-06-17 · 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{M6XRJBPXWJWA22U3UR4RX6AMHZ}

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	2026-06-19T16:12:29.001518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67af1485f7b26c0d6a9ba4791bf80c3e709b58f291e2e87b53324309e6cd3a73

Aliases

arxiv: 2606.19563 · arxiv_version: 2606.19563v1 · doi: 10.48550/arxiv.2606.19563 · pith_short_12: M6XRJBPXWJWA · pith_short_16: M6XRJBPXWJWA22U3 · pith_short_8: M6XRJBPX

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/M6XRJBPXWJWA22U3UR4RX6AMHZ \
  | 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: 67af1485f7b26c0d6a9ba4791bf80c3e709b58f291e2e87b53324309e6cd3a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ea84ebf2983356f7c645ed8b071e5e9e799043c22bd36df4fa6d89d476d561c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-17T20:03:10Z",
    "title_canon_sha256": "e0e6ed2b0fd78ed2f1b041ea31c839a677134d08dfe46fa5a8b6e9e57e7aa353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19563",
    "kind": "arxiv",
    "version": 1
  }
}