Pith Number

pith:PXFC7EFP

pith:2021:PXFC7EFPZQ7N4UCFCKN4IW3HWC

not attested not anchored not stored refs pending

Probing Modified Gravity with Integrated Sachs-Wolfe CMB and Galaxy Cross-correlations

Antonio De Felice, Giampaolo Benevento, Joshua A. Kable, Noemi Frusciante, Shinji Tsujikawa

arxiv:2111.10432 v2 · 2021-11-19 · 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{PXFC7EFPZQ7N4UCFCKN4IW3HWC}

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

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

Receipt and verification

First computed	2026-07-05T04:57:01.445623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dca2f90afcc3ede5045129bc45b67b0aab9ed6938376ff258a7772f7af249e0

Aliases

arxiv: 2111.10432 · arxiv_version: 2111.10432v2 · doi: 10.48550/arxiv.2111.10432 · pith_short_12: PXFC7EFPZQ7N · pith_short_16: PXFC7EFPZQ7N4UCF · pith_short_8: PXFC7EFP

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/PXFC7EFPZQ7N4UCFCKN4IW3HWC \
  | 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: 7dca2f90afcc3ede5045129bc45b67b0aab9ed6938376ff258a7772f7af249e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1a8fa5676670e46d7310264d2724913aab70f320dfa19a36738d6ab0b84746c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-11-19T20:52:19Z",
    "title_canon_sha256": "1d119ec6a7ea740c10517b7608a3a7e011d0a1b25ce4a8a845ea0dafc55368e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.10432",
    "kind": "arxiv",
    "version": 2
  }
}