Pith Number

pith:5DVHGX4U

pith:2013:5DVHGX4U4KQ3O2AT4AYFRUUK4K

not attested not anchored not stored refs pending

Cosmic Chronometers in the R_h=ct Universe

Fulvio Melia, Robert S. Maier

arxiv:1304.1802 v1 · 2013-04-05 · astro-ph.CO · astro-ph.GA · gr-qc · hep-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{5DVHGX4U4KQ3O2AT4AYFRUUK4K}

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

The energy conditions and model selection in the local Universe

Receipt and verification

First computed	2026-05-18T00:12:46.323144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8ea735f94e2a1b76813e03058d28ae2b4564be9792fca5f6f505ef58f53c075

Aliases

arxiv: 1304.1802 · arxiv_version: 1304.1802v1 · doi: 10.48550/arxiv.1304.1802 · pith_short_12: 5DVHGX4U4KQ3 · pith_short_16: 5DVHGX4U4KQ3O2AT · pith_short_8: 5DVHGX4U

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/5DVHGX4U4KQ3O2AT4AYFRUUK4K \
  | 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: e8ea735f94e2a1b76813e03058d28ae2b4564be9792fca5f6f505ef58f53c075

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66c445c5e374bf18c5286b32ad36baa0411dabfe7a32f80b9698bd830c23158f",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-04-05T18:46:50Z",
    "title_canon_sha256": "1bb5255dd8fbdc959804a71a96589c4361c7abe4f7a37d2e5bd1e0f707e1403e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1802",
    "kind": "arxiv",
    "version": 1
  }
}