Pith Number

pith:6BZW3RR6

pith:2026:6BZW3RR6ATME3WH6IJXEW2IK6V

not attested not anchored not stored refs pending

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity?

Ahmad Al-Badawi, Faizuddin Ahmed, \.Izzet Sakall{\i}

arxiv:2605.26696 v1 · 2026-05-26 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6BZW3RR6ATME3WH6IJXEW2IK6V}

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	2026-05-27T01:06:06.551421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0736dc63e04d84dd8fe426e4b690af56f995371f9f25943b6d631aa3a36c313

Aliases

arxiv: 2605.26696 · arxiv_version: 2605.26696v1 · doi: 10.48550/arxiv.2605.26696 · pith_short_12: 6BZW3RR6ATME · pith_short_16: 6BZW3RR6ATME3WH6 · pith_short_8: 6BZW3RR6

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/6BZW3RR6ATME3WH6IJXEW2IK6V \
  | 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: f0736dc63e04d84dd8fe426e4b690af56f995371f9f25943b6d631aa3a36c313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5494cd47c065a804de5bc6c6ab80984ee4af6b1767f41e5a2fe46171d505ec9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-26T08:39:29Z",
    "title_canon_sha256": "59c1c980b53d7aed0c3027a855cd4544c98e5082c4a7d40fa59f75497436694b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26696",
    "kind": "arxiv",
    "version": 1
  }
}