Pith Number

pith:6JO6XUP6

pith:2026:6JO6XUP6JENYJY7PBJJQGIFDNN

not attested not anchored not stored refs pending

Cosmological perturbations and gravitational waves in the general Einstein-vector theory

Xiao-Bin Lai, Yu-Qi Dong, Yu-Xiao Liu, Yu-Zhi Fan

arxiv:2602.12536 v2 · 2026-02-13 · 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{6JO6XUP6JENYJY7PBJJQGIFDNN}

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	2026-06-04T01:08:42.329178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f25debd1fe491b84e3ef0a530320a36b5363bc906b8600cb95630bdd447d5724

Aliases

arxiv: 2602.12536 · arxiv_version: 2602.12536v2 · doi: 10.48550/arxiv.2602.12536 · pith_short_12: 6JO6XUP6JENY · pith_short_16: 6JO6XUP6JENYJY7P · pith_short_8: 6JO6XUP6

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/6JO6XUP6JENYJY7PBJJQGIFDNN \
  | 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: f25debd1fe491b84e3ef0a530320a36b5363bc906b8600cb95630bdd447d5724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ec2c8c2fd37e729fb41dfd91096ee241dac0d128aa3f1cfa8eddbf1b18fe9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-02-13T02:34:24Z",
    "title_canon_sha256": "dfbe40aadf283512f18522e68fbe943ba1389635bb509da56c940f4f8bbb3ee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.12536",
    "kind": "arxiv",
    "version": 2
  }
}