Pith Number

pith:AUML6DNH

pith:2020:AUML6DNHZC7GZURREOY5CJUXY6

not attested not anchored not stored refs pending

Weakening gravity for dark matter in a type-II minimally modified gravity

Antonio De Felice, Shinji Mukohyama

arxiv:2011.04188 v1 · 2020-11-09 · astro-ph.CO · 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{AUML6DNHZC7GZURREOY5CJUXY6}

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

3 papers in Pith

Kinematic Probes of Type-II MMG: Pad\'e Cosmographic Analysis of VCDM

$\Lambda_{\rm s}$CDM cosmology from a type-II minimally modified gravity

Spatially covariant gravity with two degrees of freedom: A perturbative analysis up to cubic order

Receipt and verification

First computed	2026-07-05T02:31:44.910319Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0518bf0da7c8be6cd23123b1d12697c7838e7684504e3151ed2da474feb285ca

Aliases

arxiv: 2011.04188 · arxiv_version: 2011.04188v1 · doi: 10.48550/arxiv.2011.04188 · pith_short_12: AUML6DNHZC7G · pith_short_16: AUML6DNHZC7GZURR · pith_short_8: AUML6DNH

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/AUML6DNHZC7GZURREOY5CJUXY6 \
  | 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: 0518bf0da7c8be6cd23123b1d12697c7838e7684504e3151ed2da474feb285ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ea23b0e1caddb6a2bf27c345307abf774b42dcf611ae3c8114f7a0009e4da51",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-11-09T04:49:16Z",
    "title_canon_sha256": "e2715378e803076d7147d3a19286e680bf720420f339c15c9fde148e83ce8e10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.04188",
    "kind": "arxiv",
    "version": 1
  }
}