Pith Number

pith:DRJNMNVJ

pith:2024:DRJNMNVJUR2STH7WU4MFLOQZYK

not attested not anchored not stored refs pending

On the perturbed Friedmann equations in Newtonian Gauge

Emilio Elizalde, Jaume de Haro, Supriya Pan

arxiv:2412.15139 v3 · 2024-12-19 · gr-qc · astro-ph.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DRJNMNVJUR2STH7WU4MFLOQZYK}

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	2026-07-05T09:55:15.251256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c52d636a9a475299ff6a71855ba19c2af61cba739a2c78507da3d6279f819c8

Aliases

arxiv: 2412.15139 · arxiv_version: 2412.15139v3 · doi: 10.48550/arxiv.2412.15139 · pith_short_12: DRJNMNVJUR2S · pith_short_16: DRJNMNVJUR2STH7W · pith_short_8: DRJNMNVJ

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/DRJNMNVJUR2STH7WU4MFLOQZYK \
  | 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: 1c52d636a9a475299ff6a71855ba19c2af61cba739a2c78507da3d6279f819c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66c3435dcf6299a3f4a45e00aea1047c8ab0973edad2abcbf71727b49b86037a",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-19T18:21:56Z",
    "title_canon_sha256": "79498afb9253c9a837b469ef9927aca9e009a7ddcea7e7ccd36b6677a059089e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15139",
    "kind": "arxiv",
    "version": 3
  }
}