Pith Number

pith:OU7S2O6Y

pith:2025:OU7S2O6Y5IOFFH6OLHZWY2QYY7

not attested not anchored not stored refs pending

Cosmological perturbations in Energy-Momentum Squared Gravity

Eduardo Bittencourt, Maria-Alexia Caldis, Peter K. S. Dunsby

arxiv:2511.05166 v2 · 2025-11-07 · 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{OU7S2O6Y5IOFFH6OLHZWY2QYY7}

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	2026-06-08T01:03:51.130751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

753f2d3bd8ea1c529fce59f36c6a18c7ef20742327abb26d2365557ccc225d52

Aliases

arxiv: 2511.05166 · arxiv_version: 2511.05166v2 · doi: 10.48550/arxiv.2511.05166 · pith_short_12: OU7S2O6Y5IOF · pith_short_16: OU7S2O6Y5IOFFH6O · pith_short_8: OU7S2O6Y

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/OU7S2O6Y5IOFFH6OLHZWY2QYY7 \
  | 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: 753f2d3bd8ea1c529fce59f36c6a18c7ef20742327abb26d2365557ccc225d52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80c14473c10dd1ba121781adc68323d08691be53bec488fe6202404075441e48",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-11-07T11:35:57Z",
    "title_canon_sha256": "2c6c026fa4c060179f911246346d3248306761cd695cfc2a7b6fc7a15753d70a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.05166",
    "kind": "arxiv",
    "version": 2
  }
}