Pith Number

pith:CTENYMIS

pith:2006:CTENYMISJW4KJ3BGFV5SIDHFV2

not attested not anchored not stored refs pending

Loop quantum cosmology and the k = - 1 RW model

Kevin Vandersloot

arxiv:gr-qc/0612070 v2 · 2006-12-12 · 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{CTENYMISJW4KJ3BGFV5SIDHFV2}

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	2026-07-04T15:18:49.217517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14c8dc31124db8a4ec262d7b240ce5aebc95b4d453b99838ef88b354f4eab2b5

Aliases

arxiv: gr-qc/0612070 · arxiv_version: gr-qc/0612070v2 · doi: 10.48550/arxiv.gr-qc/0612070 · pith_short_12: CTENYMISJW4K · pith_short_16: CTENYMISJW4KJ3BG · pith_short_8: CTENYMIS

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/CTENYMISJW4KJ3BGFV5SIDHFV2 \
  | 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: 14c8dc31124db8a4ec262d7b240ce5aebc95b4d453b99838ef88b354f4eab2b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e2937bbb5ae9b70b773204bb4da1cd2a3f155f0178a8937f43a7c3680d8b3a7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-12-12T14:28:20Z",
    "title_canon_sha256": "ff119ecfd53cf558f7a669903d4916f252b6470e526e2ac66e415615bd5ca6c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0612070",
    "kind": "arxiv",
    "version": 2
  }
}