Pith Number

pith:WWKTLNPT

pith:2011:WWKTLNPTE3RVAEOOD7O27Z3ZZC

not attested not anchored not stored refs pending

Optimal covariant fitting to a Robertson-Walker metric and smallness of backreaction

Dieter Gromes

arxiv:1111.5823 v1 · 2011-11-24 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWKTLNPTE3RVAEOOD7O27Z3ZZC}

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	2026-05-18T04:07:42.238012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b59535b5f326e35011ce1fddafe779c8a8298efd67670f5d45fdd6f6835a9c25

Aliases

arxiv: 1111.5823 · arxiv_version: 1111.5823v1 · doi: 10.48550/arxiv.1111.5823 · pith_short_12: WWKTLNPTE3RV · pith_short_16: WWKTLNPTE3RVAEOO · pith_short_8: WWKTLNPT

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/WWKTLNPTE3RVAEOOD7O27Z3ZZC \
  | 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: b59535b5f326e35011ce1fddafe779c8a8298efd67670f5d45fdd6f6835a9c25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66ed90ee97de8b52560a581d0032d9a22c7c5004a33e51c1cfd04580a869ff61",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-24T17:43:22Z",
    "title_canon_sha256": "afddf1e5a67ee7e383e8e08731242bd9d2a3ac2ac357667643bca17822ac15d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5823",
    "kind": "arxiv",
    "version": 1
  }
}