Pith Number

pith:CWMFVVNW

pith:2011:CWMFVVNWETVTQ323FVDZEMHFWC

not attested not anchored not stored refs pending

Cosmological Perturbations in Conformal Gravity

Philip D. Mannheim

arxiv:1109.4119 v2 · 2011-09-19 · gr-qc · astro-ph.CO · 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{CWMFVVNWETVTQ323FVDZEMHFWC}

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	2026-05-18T03:23:02.168638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15985ad5b624eb386f5b2d479230e5b093452ebde7a661350d66c3b14ef94f1e

Aliases

arxiv: 1109.4119 · arxiv_version: 1109.4119v2 · doi: 10.48550/arxiv.1109.4119 · pith_short_12: CWMFVVNWETVT · pith_short_16: CWMFVVNWETVTQ323 · pith_short_8: CWMFVVNW

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/CWMFVVNWETVTQ323FVDZEMHFWC \
  | 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: 15985ad5b624eb386f5b2d479230e5b093452ebde7a661350d66c3b14ef94f1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97620a9aed0374e0cc968c884c342172b9668915c9cbeef3bb014a6b0533299d",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-19T18:37:29Z",
    "title_canon_sha256": "bdf4449dd33b5644f284d7036a798f02bfe18c510d80028241b0ff3c9f4e3a03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4119",
    "kind": "arxiv",
    "version": 2
  }
}