Pith Number

pith:RHNFXN4T

pith:2022:RHNFXN4T2GBCQDLOCJ3CHZYB4E

not attested not anchored not stored refs pending

Spatially Homogeneous Universes with Late-Time Anisotropy

Andrei Constantin, Andre Lukas, Sebastian von Hausegger, Thomas R. Harvey

arxiv:2212.03234 v3 · 2022-12-06 · 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{RHNFXN4T2GBCQDLOCJ3CHZYB4E}

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	2026-07-05T07:15:35.480833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89da5bb793d182280d6e127623e701e13d3f699494d93fc16df082612fb8b1ce

Aliases

arxiv: 2212.03234 · arxiv_version: 2212.03234v3 · doi: 10.48550/arxiv.2212.03234 · pith_short_12: RHNFXN4T2GBC · pith_short_16: RHNFXN4T2GBCQDLO · pith_short_8: RHNFXN4T

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/RHNFXN4T2GBCQDLOCJ3CHZYB4E \
  | 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: 89da5bb793d182280d6e127623e701e13d3f699494d93fc16df082612fb8b1ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb42e5865e757bd43a8c535e223a8a023cbd0cb293a3dd6bafa72a07373e9f78",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-12-06T18:57:42Z",
    "title_canon_sha256": "fdaaacb137ad3721b488b3d91851dbe97126e4cd73be48d5726d1dfcf99631ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.03234",
    "kind": "arxiv",
    "version": 3
  }
}