Pith Number

pith:3S77XJ6O

pith:2011:3S77XJ6OWBDQZZQFWGJANRWUA3

not attested not anchored not stored refs pending

On Shear-Free perturbations of FLRW Universes

Anne Marie Nzioki, George F. R. Ellis, Peter K.S. Dunsby, Rituparno Goswami

arxiv:1107.5410 v1 · 2011-07-27 · 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{3S77XJ6OWBDQZZQFWGJANRWUA3}

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	2026-05-18T04:02:11.850390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcbffba7ceb0470ce605b19206c6d406d0818eb4d502c0851edf6f2f2380a619

Aliases

arxiv: 1107.5410 · arxiv_version: 1107.5410v1 · doi: 10.48550/arxiv.1107.5410 · pith_short_12: 3S77XJ6OWBDQ · pith_short_16: 3S77XJ6OWBDQZZQF · pith_short_8: 3S77XJ6O

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/3S77XJ6OWBDQZZQFWGJANRWUA3 \
  | 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: dcbffba7ceb0470ce605b19206c6d406d0818eb4d502c0851edf6f2f2380a619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61c9d9d52c5d3ad9bf5a914080444a99fbf23c53f3e4146eeb4e16125503540f",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-27T08:29:56Z",
    "title_canon_sha256": "3898c885cd12f08ff16fe9ea86c864c9d537ae6ff08cc14c3874ea8ed8ff48a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5410",
    "kind": "arxiv",
    "version": 1
  }
}