Pith Number

pith:CIUS7EHV

pith:2007:CIUS7EHVBOL3XKODBY5FE4TSFA

not attested not anchored not stored refs pending

On Energy of the Friedman Universes in Conformally Flat Coordinates

Janusz Garecki

arxiv:0708.2783 v4 · 2007-08-21 · 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{CIUS7EHVBOL3XKODBY5FE4TSFA}

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	2026-05-18T04:23:34.526556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12292f90f50b97bba9c30e3a52727228232494f05088df23d822bec6cd48a4be

Aliases

arxiv: 0708.2783 · arxiv_version: 0708.2783v4 · doi: 10.48550/arxiv.0708.2783 · pith_short_12: CIUS7EHVBOL3 · pith_short_16: CIUS7EHVBOL3XKOD · pith_short_8: CIUS7EHV

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/CIUS7EHVBOL3XKODBY5FE4TSFA \
  | 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: 12292f90f50b97bba9c30e3a52727228232494f05088df23d822bec6cd48a4be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42705afb1fec4b030e3beefe0999382b901501ec7402bee443b6cf07913df51a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-08-21T12:53:32Z",
    "title_canon_sha256": "c0b447403eed452c1fe1628e1cc9a3641805fed11e71e6b66e3a8725e033f179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2783",
    "kind": "arxiv",
    "version": 4
  }
}