Pith Number

pith:VRJSJT5N

pith:2022:VRJSJT5N26SADSUP76FP7XH3XT

not attested not anchored not stored refs pending

An update on adiabatic modes in cosmology and $\delta$N formalism

Adrian Palomares, Cristiano Germani, Diego Cruces

arxiv:2212.05112 v4 · 2022-12-09 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRJSJT5N26SADSUP76FP7XH3XT}

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

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation

Receipt and verification

First computed	2026-07-05T06:20:22.243354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac5324cfadd7a401ca8fff8affdcfbbcf85554510b0e1350f80dd2ea317cc832

Aliases

arxiv: 2212.05112 · arxiv_version: 2212.05112v4 · doi: 10.48550/arxiv.2212.05112 · pith_short_12: VRJSJT5N26SA · pith_short_16: VRJSJT5N26SADSUP · pith_short_8: VRJSJT5N

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/VRJSJT5N26SADSUP76FP7XH3XT \
  | 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: ac5324cfadd7a401ca8fff8affdcfbbcf85554510b0e1350f80dd2ea317cc832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73d250013ee1d3f7d9e42004cd2fb7486b33b9fbd302ad71118df81f7f8ba51d",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-12-09T20:33:04Z",
    "title_canon_sha256": "6b498bd4b94cf15d7b68eb3e2738454b4476f40b3c4ef4ddf8c692219eb021b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.05112",
    "kind": "arxiv",
    "version": 4
  }
}