Pith Number

pith:7GS5NKFI

pith:2005:7GS5NKFINOYBI5RNJ7BD5EJ6XB

not attested not anchored not stored refs pending

The universe seen at different scales

G.F.R. Ellis, T. Buchert

arxiv:gr-qc/0506106 v2 · 2005-06-21 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GS5NKFINOYBI5RNJ7BD5EJ6XB}

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.

Cited by

1 paper in Pith

Mapping the Universe as a Bianchi I cosmology with Gaia data

Receipt and verification

First computed	2026-07-04T14:48:08.216250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9a5d6a8a86bb014762d4fc23e913eb865fb5ea3768803a1670775fc55f7ab5f

Aliases

arxiv: gr-qc/0506106 · arxiv_version: gr-qc/0506106v2 · doi: 10.48550/arxiv.gr-qc/0506106 · pith_short_12: 7GS5NKFINOYB · pith_short_16: 7GS5NKFINOYBI5RN · pith_short_8: 7GS5NKFI

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/7GS5NKFINOYBI5RNJ7BD5EJ6XB \
  | 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: f9a5d6a8a86bb014762d4fc23e913eb865fb5ea3768803a1670775fc55f7ab5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "368c30296e6413f20a92d67fbf7017c6e2991ee9491bc5e6a971198914ab26ed",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-06-21T14:30:57Z",
    "title_canon_sha256": "43fc58e2bc43652450f726cfac45683beec19a2a81f47d2950505eb3deb1eadf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0506106",
    "kind": "arxiv",
    "version": 2
  }
}