Pith Number

pith:LZT6ZBHF

pith:2010:LZT6ZBHFLBBBG2MHGXCTBYSAW3

not attested not anchored not stored refs pending

Observables for FRW model with cosmological constant in the framework of loop cosmology

Jakub Mielczarek, Wlodzimierz Piechocki

arxiv:1001.3999 v3 · 2010-01-22 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZT6ZBHFLBBBG2MHGXCTBYSAW3}

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	2026-05-18T02:33:49.360537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e67ec84e5584213698735c530e240b6c1669663fd0cdc9a296acf610db4d683

Aliases

arxiv: 1001.3999 · arxiv_version: 1001.3999v3 · doi: 10.48550/arxiv.1001.3999 · pith_short_12: LZT6ZBHFLBBB · pith_short_16: LZT6ZBHFLBBBG2MH · pith_short_8: LZT6ZBHF

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/LZT6ZBHFLBBBG2MHGXCTBYSAW3 \
  | 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: 5e67ec84e5584213698735c530e240b6c1669663fd0cdc9a296acf610db4d683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dccf3f83c1c45347d87303337b969d887e856b71c6e90ff7c2877e95f57b5087",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-01-22T14:17:38Z",
    "title_canon_sha256": "318e024f3ceac376b97f9a7d8cf5056c02ba4faba86ecd365777f2d891f8274f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3999",
    "kind": "arxiv",
    "version": 3
  }
}