Pith Number

pith:QWXZDI73

pith:2022:QWXZDI73IVDBRZSLNIMIZSWTW3

not attested not anchored not stored refs pending

Linear growth of structure in massive gravity

Ananya Mukherjee, Anthony R. Pullen, Ekapob Kulchoakrungsun, Nishant Agarwal

arxiv:2206.04086 v2 · 2022-06-08 · gr-qc · astro-ph.CO · 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{QWXZDI73IVDBRZSLNIMIZSWTW3}

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.

Cited by

1 paper in Pith

Vector Perturbations in Ghost-Free Quasidilaton Massive Gravity

Receipt and verification

First computed	2026-07-05T05:11:39.948281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85af91a3fb454618e64b6a188ccad3b6e2cfaa4e63c42aa9df92ff8ab683f509

Aliases

arxiv: 2206.04086 · arxiv_version: 2206.04086v2 · doi: 10.48550/arxiv.2206.04086 · pith_short_12: QWXZDI73IVDB · pith_short_16: QWXZDI73IVDBRZSL · pith_short_8: QWXZDI73

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/QWXZDI73IVDBRZSLNIMIZSWTW3 \
  | 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: 85af91a3fb454618e64b6a188ccad3b6e2cfaa4e63c42aa9df92ff8ab683f509

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1714de1fd88be740126740bcd6b4b345d5f541e9f90666c4344b49d2020c64ca",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-06-08T18:00:07Z",
    "title_canon_sha256": "e57d18b97ade04f7f4b32bf32ad4f4ae891dee86ae154060059ee534c5004ff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.04086",
    "kind": "arxiv",
    "version": 2
  }
}