Pith Number

pith:SH72N7IC

pith:2011:SH72N7ICSULTHAEHUKYZTEZQQ7

not attested not anchored not stored refs pending

The Metric of the Cosmos from Luminosity and Age Data

Alnadhief H. A. Alfedeel, Charles Hellaby, Krzysztof Bolejko

arxiv:1102.3370 v2 · 2011-02-16 · 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{SH72N7ICSULTHAEHUKYZTEZQQ7}

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	2026-05-18T02:03:10.368269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91ffa6fd029517338087a2b199933087de1955ede7e2805512af6f007d70bcfb

Aliases

arxiv: 1102.3370 · arxiv_version: 1102.3370v2 · doi: 10.48550/arxiv.1102.3370 · pith_short_12: SH72N7ICSULT · pith_short_16: SH72N7ICSULTHAEH · pith_short_8: SH72N7IC

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/SH72N7ICSULTHAEHUKYZTEZQQ7 \
  | 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: 91ffa6fd029517338087a2b199933087de1955ede7e2805512af6f007d70bcfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "465aa5b21252487ee4855f27818a00acd4a69e476a6482c6c47b2f544f45c40a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-02-16T16:35:18Z",
    "title_canon_sha256": "c5153783d45bf30f63c9efa55a845a958520e560b87864e266db453531c2fed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3370",
    "kind": "arxiv",
    "version": 2
  }
}