Pith Number

pith:3SWH3PKI

pith:2016:3SWH3PKI5FQJASPRLOO7W3ENGU

not attested not anchored not stored refs pending

The background Friedmannian Hubble constant in relativistic inhomogeneous cosmology and the age of the Universe

Boudewijn F. Roukema, Jan J. Ostrowski, Pierre Mourier, Thomas Buchert

arxiv:1608.06004 v2 · 2016-08-21 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3SWH3PKI5FQJASPRLOO7W3ENGU}

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	2026-05-18T00:50:47.304481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcac7dbd48e9609049f15b9dfb6c8d3538ad16950014659ba067974cfff22f36

Aliases

arxiv: 1608.06004 · arxiv_version: 1608.06004v2 · doi: 10.48550/arxiv.1608.06004 · pith_short_12: 3SWH3PKI5FQJ · pith_short_16: 3SWH3PKI5FQJASPR · pith_short_8: 3SWH3PKI

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/3SWH3PKI5FQJASPRLOO7W3ENGU \
  | 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: dcac7dbd48e9609049f15b9dfb6c8d3538ad16950014659ba067974cfff22f36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "157d7309144aa399414d5e7d4a4a1bac93161f870ef8e6d24732e776c5c665a4",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-08-21T21:44:16Z",
    "title_canon_sha256": "6e8fbef338de19329caa971f057c5c6b02e64eb90c8f6c1bd721e50073218564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06004",
    "kind": "arxiv",
    "version": 2
  }
}