Pith Number

pith:YDCK6IIU

pith:2011:YDCK6IIUOVWIQFYOUSAIW3JR4A

not attested not anchored not stored refs pending

Exact plane gravitational waves in the de Rham-Gabadadze-Tolley model of massive gravity

Morteza Mohseni

arxiv:1109.4713 v2 · 2011-09-22 · hep-th · 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{YDCK6IIUOVWIQFYOUSAIW3JR4A}

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	2026-05-18T04:07:32.029495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0c4af2114756c88170ea4808b6d31e03bdaca77f63dec3e6dca9a56200dc90d

Aliases

arxiv: 1109.4713 · arxiv_version: 1109.4713v2 · doi: 10.48550/arxiv.1109.4713 · pith_short_12: YDCK6IIUOVWI · pith_short_16: YDCK6IIUOVWIQFYO · pith_short_8: YDCK6IIU

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/YDCK6IIUOVWIQFYOUSAIW3JR4A \
  | 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: c0c4af2114756c88170ea4808b6d31e03bdaca77f63dec3e6dca9a56200dc90d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a52f33d21dfba0526b571761590966bdff148898c02b0914da97833d8c1e660",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-09-22T07:20:41Z",
    "title_canon_sha256": "421f3f8e0af43c2231fb95991c2c047e2830633581295b9d5cd696f9ac66003b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4713",
    "kind": "arxiv",
    "version": 2
  }
}