Pith Number

pith:KW7DDMX5

pith:2008:KW7DDMX5NYGBT5YD6BCX6MSSXK

not attested not anchored not stored refs pending

Quantum cosmological Friedman models with an initial singularity

Claus Gerhardt

arxiv:0806.1769 v7 · 2008-06-11 · gr-qc · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KW7DDMX5NYGBT5YD6BCX6MSSXK}

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.

Cited by

1 paper in Pith

Applications of canonical quantum gravity to cosmology

Receipt and verification

First computed	2026-07-04T15:37:27.660252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55be31b2fd6e0c19f703f0457f3252bab467dbe19a766143baed01cd629c5803

Aliases

arxiv: 0806.1769 · arxiv_version: 0806.1769v7 · doi: 10.48550/arxiv.0806.1769 · pith_short_12: KW7DDMX5NYGB · pith_short_16: KW7DDMX5NYGBT5YD · pith_short_8: KW7DDMX5

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/KW7DDMX5NYGBT5YD6BCX6MSSXK \
  | 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: 55be31b2fd6e0c19f703f0457f3252bab467dbe19a766143baed01cd629c5803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2de63657e8153c3c2bd007d06c81eda9c94f7c3529c7824ffa5357f2f8391eca",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-06-11T14:51:49Z",
    "title_canon_sha256": "39b8bf8a9bedeca8fb3f270616a4c7511aa3cc30ece68a6eb53e1e8f4266c8ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.1769",
    "kind": "arxiv",
    "version": 7
  }
}