Pith Number

pith:6J7N7B4Q

pith:2025:6J7N7B4QUKII5PG3VPSZSUP2R6

not attested not anchored not stored refs pending

Spherical collapse in DHOST theories and EFT of dark energy

Takashi Hiramatsu, Toshiki Takadera, Tsutomu Kobayashi

arxiv:2504.12656 v1 · 2025-04-17 · 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{6J7N7B4QUKII5PG3VPSZSUP2R6}

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	2026-07-05T10:50:20.254785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f27edf8790a2908ebcdbabe59951fa8fbbd73fab8cf0fc694af5bc6c2f6d1075

Aliases

arxiv: 2504.12656 · arxiv_version: 2504.12656v1 · doi: 10.48550/arxiv.2504.12656 · pith_short_12: 6J7N7B4QUKII · pith_short_16: 6J7N7B4QUKII5PG3 · pith_short_8: 6J7N7B4Q

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/6J7N7B4QUKII5PG3VPSZSUP2R6 \
  | 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: f27edf8790a2908ebcdbabe59951fa8fbbd73fab8cf0fc694af5bc6c2f6d1075

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22dcb19631f206b218193fe20d9474af151521195750a8655d3a026bb96a746c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-04-17T05:33:55Z",
    "title_canon_sha256": "4e79d1f43dbc9123ff27eacf94a385cfb8aed6f32a3d49baf41516ffbbf06459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.12656",
    "kind": "arxiv",
    "version": 1
  }
}