Pith Number

pith:46WC5K2D

pith:2011:46WC5K2DTKSIEDEYJG7RSGNAL3

not attested not anchored not stored refs pending

The R_h = ct Universe

Andrew Shevchuk, Fulvio Melia

arxiv:1109.5189 v1 · 2011-09-23 · astro-ph.CO · gr-qc · hep-ph · 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{46WC5K2DTKSIEDEYJG7RSGNAL3}

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	2026-05-18T02:00:25.762685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7ac2eab439aa4820c9849bf1919a05ef492c7c65f5f9f650280dcdb2d7d9faf

Aliases

arxiv: 1109.5189 · arxiv_version: 1109.5189v1 · doi: 10.48550/arxiv.1109.5189 · pith_short_12: 46WC5K2DTKSI · pith_short_16: 46WC5K2DTKSIEDEY · pith_short_8: 46WC5K2D

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/46WC5K2DTKSIEDEYJG7RSGNAL3 \
  | 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: e7ac2eab439aa4820c9849bf1919a05ef492c7c65f5f9f650280dcdb2d7d9faf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe18a0313df7c1e7bfbb96b24bdb6e00f5521ba43b7a18f54c88dc0ac1eee2d8",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-09-23T20:10:59Z",
    "title_canon_sha256": "07d55aa20bfa670b9cd1a268717209561daad8a383a662f4c71b132d16157242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5189",
    "kind": "arxiv",
    "version": 1
  }
}