Pith Number

pith:VO443YGN

pith:2021:VO443YGNE6NUIMNTZFOJR6VUTL

not attested not anchored not stored refs pending

Disformal map and Petrov classification in modified gravity

Antonio De Felice, Jibril Ben Achour, Masroor C. Pookkillath, Mohammad Ali Gorji, Shinji Mukohyama

arxiv:2107.02386 v2 · 2021-07-06 · 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{VO443YGNE6NUIMNTZFOJR6VUTL}

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	2026-07-05T03:54:41.801071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abb9cde0cd279b4431b3c95c98fab49adec65571102caf729ccda7cd58900ccc

Aliases

arxiv: 2107.02386 · arxiv_version: 2107.02386v2 · doi: 10.48550/arxiv.2107.02386 · pith_short_12: VO443YGNE6NU · pith_short_16: VO443YGNE6NUIMNT · pith_short_8: VO443YGN

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/VO443YGNE6NUIMNTZFOJR6VUTL \
  | 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: abb9cde0cd279b4431b3c95c98fab49adec65571102caf729ccda7cd58900ccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9a4d2aa6858b8c054b1ecf66bd485afb2b730f2e22efc1cb62bc3747402d152",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-06T04:52:08Z",
    "title_canon_sha256": "87a66c90f893880e42a0a7da5b9c3b7ba6b8de0cddc5f28cc83e0e1bf2a0914b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.02386",
    "kind": "arxiv",
    "version": 2
  }
}