Pith Number

pith:BIA3JDZ7

pith:2006:BIA3JDZ7Y2BNOFX4MHSXPX2Y57

not attested not anchored not stored refs pending

Proper Weyl Collineations in Kantowski-Sachs and Bianchi Type III Space-Times

Ghulam Shabbir

arxiv:gr-qc/0606106 v1 · 2006-06-25 · 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{BIA3JDZ7Y2BNOFX4MHSXPX2Y57}

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	2026-05-18T01:39:20.064746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a01b48f3fc682d716fc61e577df58efc1869842eec41eb8a0df347cf3d009ce

Aliases

arxiv: gr-qc/0606106 · arxiv_version: gr-qc/0606106v1 · doi: 10.48550/arxiv.gr-qc/0606106 · pith_short_12: BIA3JDZ7Y2BN · pith_short_16: BIA3JDZ7Y2BNOFX4 · pith_short_8: BIA3JDZ7

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/BIA3JDZ7Y2BNOFX4MHSXPX2Y57 \
  | 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: 0a01b48f3fc682d716fc61e577df58efc1869842eec41eb8a0df347cf3d009ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72b19d420fefd252620df02e36180b9f0af820717ba5d6481b9b01e240fe01b6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-06-25T13:04:51Z",
    "title_canon_sha256": "41280066528835897229232144f01ff6c516472e9ccdf8d6200e156ec71cc3ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0606106",
    "kind": "arxiv",
    "version": 1
  }
}