Pith Number

pith:IUNSL6XD

pith:2007:IUNSL6XDWWJZP7MR5M7VBIMOEA

not attested not anchored not stored refs pending

On Energy and Momentum of the Friedman and Some More General Universes

Janusz Garecki

arxiv:gr-qc/0701058 v1 · 2007-01-10 · 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{IUNSL6XDWWJZP7MR5M7VBIMOEA}

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	2026-05-18T00:59:12.511224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

451b25fae3b59397fd91eb3f50a18e20312c54b4c2374301fbfbe2dc240069d1

Aliases

arxiv: gr-qc/0701058 · arxiv_version: gr-qc/0701058v1 · doi: 10.48550/arxiv.gr-qc/0701058 · pith_short_12: IUNSL6XDWWJZ · pith_short_16: IUNSL6XDWWJZP7MR · pith_short_8: IUNSL6XD

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/IUNSL6XDWWJZP7MR5M7VBIMOEA \
  | 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: 451b25fae3b59397fd91eb3f50a18e20312c54b4c2374301fbfbe2dc240069d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c6f36e190d3cc4f01e3e2bac4b4ae4ab73c37adf77d2fcc91d72170bf0501b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-01-10T10:09:40Z",
    "title_canon_sha256": "4f842de6881ee3e9e700f6393c874576dd3e6568f5e3ab319c9ce1c8afbd7131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0701058",
    "kind": "arxiv",
    "version": 1
  }
}