Pith Number

pith:U43IQQQZ

pith:2001:U43IQQQZXNOXP4NIIYSSIWIEXA

not attested not anchored not stored refs pending

Measuring the metric: a parametrized post-Friedmanian approach to the cosmic dark energy problem

Max Tegmark

arxiv:astro-ph/0101354 v2 · 2001-01-22 · astro-ph · 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{U43IQQQZXNOXP4NIIYSSIWIEXA}

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	2026-07-04T15:53:43.951972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a736884219bb5d77f1a84625245904b8247ebd4c145ca0f961a7db8db990c19e

Aliases

arxiv: astro-ph/0101354 · arxiv_version: astro-ph/0101354v2 · doi: 10.48550/arxiv.astro-ph/0101354 · pith_short_12: U43IQQQZXNOX · pith_short_16: U43IQQQZXNOXP4NI · pith_short_8: U43IQQQZ

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/U43IQQQZXNOXP4NIIYSSIWIEXA \
  | 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: a736884219bb5d77f1a84625245904b8247ebd4c145ca0f961a7db8db990c19e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89672733960a1688b3b19c49265daadbf50ede2f449060a38800b5cdb4cd4f67",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-01-22T23:53:15Z",
    "title_canon_sha256": "92093096a3b7e18172c05688f5d98922f40f00b83f26fd34f5df152eb31d0570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0101354",
    "kind": "arxiv",
    "version": 2
  }
}