Pith Number

pith:7MRONOBD

pith:2026:7MRONOBDUDUMIRU5DJGCTT7EAY

not attested not anchored not stored refs pending

Are There Closed Timelike Curves in $f(R,\mathcal{L}_m,\Phi,g^{\mu\nu}\nabla_\mu \Phi \nabla_\nu \Phi)$-Gravity?

A. F. Santos, Faizuddin Ahmed

arxiv:2605.21040 v1 · 2026-05-20 · 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{7MRONOBDUDUMIRU5DJGCTT7EAY}

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	2026-05-21T01:05:33.684590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb22e6b823a0e8c4469d1a4c29cfe406352fcad824dadde00d7673a1d8407e59

Aliases

arxiv: 2605.21040 · arxiv_version: 2605.21040v1 · doi: 10.48550/arxiv.2605.21040 · pith_short_12: 7MRONOBDUDUM · pith_short_16: 7MRONOBDUDUMIRU5 · pith_short_8: 7MRONOBD

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/7MRONOBDUDUMIRU5DJGCTT7EAY \
  | 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: fb22e6b823a0e8c4469d1a4c29cfe406352fcad824dadde00d7673a1d8407e59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a61b8a70d4e2be2dc19109784e56310170bb1e8f8e892c2eabc5455ba655db0b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-20T11:22:21Z",
    "title_canon_sha256": "5ef0679a3ac1bd6300f10c7796bb8b8dc3fb839ad9dc8d671f2918d9733d9b37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21040",
    "kind": "arxiv",
    "version": 1
  }
}