Pith Number

pith:G357B5DP

pith:2020:G357B5DPGE2CBPHNYOOXPBGCWS

not attested not anchored not stored refs pending

Relativistic Corrections to the Growth of Structure in Modified Gravity

David Wands, Guilherme Brando, Kazuya Koyama

arxiv:2006.11019 v2 · 2020-06-19 · astro-ph.CO · 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{G357B5DPGE2CBPHNYOOXPBGCWS}

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

4 papers in Pith

Synergy between the gravitational potential decay rate and other structure growth probes in testing gravity

The sound of dynamical dark energy and modified gravity

Modeling nonlinear scales for dynamical dark energy cosmologies with COLA

Relativistic effects in k-essence

Receipt and verification

First computed	2026-07-05T02:07:47.530105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36fbf0f46f313420bcedc39d7784c2b490630077251cc23eb4a7347c287ac08f

Aliases

arxiv: 2006.11019 · arxiv_version: 2006.11019v2 · doi: 10.48550/arxiv.2006.11019 · pith_short_12: G357B5DPGE2C · pith_short_16: G357B5DPGE2CBPHN · pith_short_8: G357B5DP

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/G357B5DPGE2CBPHNYOOXPBGCWS \
  | 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: 36fbf0f46f313420bcedc39d7784c2b490630077251cc23eb4a7347c287ac08f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f43e05276d51aaad083397d2514c5683a932405dfdde84b899b805b5633d6f5",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-06-19T08:48:48Z",
    "title_canon_sha256": "eeeb428bd4d0a61c784dd3216e0864a72ab12072e5f554a0aa1c0f4cb13abea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.11019",
    "kind": "arxiv",
    "version": 2
  }
}