Pith Number

pith:M6DDKFSV

pith:2016:M6DDKFSVTBVVVUXS4ADPSVWUJ2

not attested not anchored not stored refs pending

Gravity at the horizon: on relativistic effects, CMB-LSS correlations and ultra-large scales in Horndeski's theory

1), 2), (2) Nordita, (3) Helsinki U.), Francesco Montanari (3) ((1) U. Heidelberg, ITP, Janina Renk (1, Miguel Zumalacarregui (2

arxiv:1604.03487 v3 · 2016-04-12 · 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{M6DDKFSVTBVVVUXS4ADPSVWUJ2}

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	2026-05-18T01:10:37.739714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6786351655986b5ad2f2e006f956d44e9d2326fcf3a5c632c120457f36c4549f

Aliases

arxiv: 1604.03487 · arxiv_version: 1604.03487v3 · doi: 10.48550/arxiv.1604.03487 · pith_short_12: M6DDKFSVTBVV · pith_short_16: M6DDKFSVTBVVVUXS · pith_short_8: M6DDKFSV

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/M6DDKFSVTBVVVUXS4ADPSVWUJ2 \
  | 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: 6786351655986b5ad2f2e006f956d44e9d2326fcf3a5c632c120457f36c4549f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c55d5b99ffd3d5892b41afc5fe080df77ff79c8ae23a3ace2e0cec9673e532cd",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-04-12T17:13:19Z",
    "title_canon_sha256": "b1ac9fd66f7781d2895a5f1e82644c52c59b0c5307ba915526e9729e5dab56b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03487",
    "kind": "arxiv",
    "version": 3
  }
}