Pith Number

pith:PEX6K2SF

pith:2021:PEX6K2SFBSY2E7GRQF47BXQKT4

not attested not anchored not stored refs pending

Minimal theory of massive gravity in the light of CMB data and the $S_8$ tension

Antonio De Felice, Jose C. N. de Araujo, Rafael C. Nunes, Suresh Kumar

arxiv:2106.09595 v3 · 2021-06-17 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PEX6K2SFBSY2E7GRQF47BXQKT4}

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	2026-07-05T03:35:29.425641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

792fe56a450cb1a27cd18179f0de0a9f22837ef93fb102841691e35cabc0d6b6

Aliases

arxiv: 2106.09595 · arxiv_version: 2106.09595v3 · doi: 10.48550/arxiv.2106.09595 · pith_short_12: PEX6K2SFBSY2 · pith_short_16: PEX6K2SFBSY2E7GR · pith_short_8: PEX6K2SF

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/PEX6K2SFBSY2E7GRQF47BXQKT4 \
  | 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: 792fe56a450cb1a27cd18179f0de0a9f22837ef93fb102841691e35cabc0d6b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ec791498f41a1e860302264076134f50017dca57f58637f97cb2d01e145ec61",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-06-17T15:24:58Z",
    "title_canon_sha256": "a7bd18a74762dd2f2064e251f019da5499f8d705c990f0348920a060b5eb795b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.09595",
    "kind": "arxiv",
    "version": 3
  }
}