Pith Number

pith:RH7JK7QH

pith:2010:RH7JK7QH7ONFO2KO3M3XEK3UFC

not attested not anchored not stored refs pending

Bianchi I model in terms of nonstandard loop quantum cosmology: Quantum dynamics

Piotr Dzierzak, Przemyslaw Malkiewicz, Wlodzimierz Piechocki

arxiv:1010.2930 v3 · 2010-10-14 · gr-qc · astro-ph.HE · hep-th · quant-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{RH7JK7QH7ONFO2KO3M3XEK3UFC}

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	2026-05-18T04:25:13.061166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89fe957e07fb9a57694edb37722b7428a67d875c9662037196a0145bf5837014

Aliases

arxiv: 1010.2930 · arxiv_version: 1010.2930v3 · doi: 10.48550/arxiv.1010.2930 · pith_short_12: RH7JK7QH7ONF · pith_short_16: RH7JK7QH7ONFO2KO · pith_short_8: RH7JK7QH

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/RH7JK7QH7ONFO2KO3M3XEK3UFC \
  | 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: 89fe957e07fb9a57694edb37722b7428a67d875c9662037196a0145bf5837014

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee82421c5038e08bc42077e9262f0ff5036d3439869da55a22c29523e728f6a2",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-10-14T14:20:15Z",
    "title_canon_sha256": "21d400f6c57fba63785267c146165c853b3070b75ac960ce3255d70b758b6019"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2930",
    "kind": "arxiv",
    "version": 3
  }
}