Pith Number

pith:HNK2PQF3

pith:1998:HNK2PQF3UQI4YEN4JGYGUGQDPY

not attested not anchored not stored refs pending

Dimensional reduction and gauge group reduction in Bianchi-Type cosmology

J. M. Pons, L. C. Shepley

arxiv:gr-qc/9805030 v1 · 1998-05-09 · 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{HNK2PQF3UQI4YEN4JGYGUGQDPY}

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	2026-05-18T01:06:44.282966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b55a7c0bba411cc11bc49b06a1a037e02f8182aec9431f7b79db318f6162ea5

Aliases

arxiv: gr-qc/9805030 · arxiv_version: gr-qc/9805030v1 · doi: 10.48550/arxiv.gr-qc/9805030 · pith_short_12: HNK2PQF3UQI4 · pith_short_16: HNK2PQF3UQI4YEN4 · pith_short_8: HNK2PQF3

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/HNK2PQF3UQI4YEN4JGYGUGQDPY \
  | 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: 3b55a7c0bba411cc11bc49b06a1a037e02f8182aec9431f7b79db318f6162ea5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed5ab3f9ff0465a7e788b8d96e7839af58ddac46de39a865f86d11fa55a00a8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-05-09T19:19:02Z",
    "title_canon_sha256": "394ac83aeaea16a55c64c67acc79362445961a8b6f31a96339031f4db4bc24c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9805030",
    "kind": "arxiv",
    "version": 1
  }
}