Pith Number

pith:VUUTQH3B

pith:2001:VUUTQH3BHBH2VRJGXIQG2OWITL

not attested not anchored not stored refs pending

Universe Models with a Variable Cosmological "Constant" and a "Big Bounce"

Hongya Liu, Paul S. Wesson

arxiv:gr-qc/0107093 v1 · 2001-07-28 · gr-qc · astro-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{VUUTQH3BHBH2VRJGXIQG2OWITL}

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	2026-05-18T02:37:35.914825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad29381f61384faac526ba206d3ac89afba780ca97d0f403c1ae23457c55109b

Aliases

arxiv: gr-qc/0107093 · arxiv_version: gr-qc/0107093v1 · doi: 10.48550/arxiv.gr-qc/0107093 · pith_short_12: VUUTQH3BHBH2 · pith_short_16: VUUTQH3BHBH2VRJG · pith_short_8: VUUTQH3B

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/VUUTQH3BHBH2VRJGXIQG2OWITL \
  | 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: ad29381f61384faac526ba206d3ac89afba780ca97d0f403c1ae23457c55109b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16ef3a24bd6727a43ca258bfca0b365a35882e704e42e4d7994e55ba11ac6752",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-07-28T07:11:23Z",
    "title_canon_sha256": "6ba7c5546fd6485754c068fe6737c83d0031ff2d18d16ff448c666e655751fdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0107093",
    "kind": "arxiv",
    "version": 1
  }
}