Pith Number

pith:UKVJOFRT

pith:2018:UKVJOFRTHD62MBF3VERC52BWEC

not attested not anchored not stored refs pending

Parametrizing modified gravities with vector degrees of freedom: anisotropic growth and lensing

Antonio L. Maroto, Miguel Aparicio Resco

arxiv:1807.04649 v2 · 2018-07-11 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKVJOFRTHD62MBF3VERC52BWEC}

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	2026-05-18T00:03:15.864566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2aa97163338fda604bba9222ee83620abefe89de603f1a3c38f8eff27e4dc17

Aliases

arxiv: 1807.04649 · arxiv_version: 1807.04649v2 · doi: 10.48550/arxiv.1807.04649 · pith_short_12: UKVJOFRTHD62 · pith_short_16: UKVJOFRTHD62MBF3 · pith_short_8: UKVJOFRT

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/UKVJOFRTHD62MBF3VERC52BWEC \
  | 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: a2aa97163338fda604bba9222ee83620abefe89de603f1a3c38f8eff27e4dc17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e23e7e4d306fe127cd006211926541abef81779b0a40f398dd696892d6d16edc",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-07-11T10:02:56Z",
    "title_canon_sha256": "f1209f219145bde3c330580af272310a596e1b74638450f28badf9d5c391af40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04649",
    "kind": "arxiv",
    "version": 2
  }
}