Pith Number

pith:XJ77ALMW

pith:2011:XJ77ALMWSWTDJIG2A6QYHXFYBF

not attested not anchored not stored refs pending

A note on classification of proper homothetic vector fields in Kantowski-Sachs and Bianchi type III Lorentzian manifolds

Fouzia Iqbal, Ghulam Shabbir

arxiv:1110.3171 v1 · 2011-10-14 · 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{XJ77ALMWSWTDJIG2A6QYHXFYBF}

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	2026-05-18T04:10:57.905107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba7ff02d9695a634a0da07a183dcb8097668274f9ca950d6ae1a3cbc230c9553

Aliases

arxiv: 1110.3171 · arxiv_version: 1110.3171v1 · doi: 10.48550/arxiv.1110.3171 · pith_short_12: XJ77ALMWSWTD · pith_short_16: XJ77ALMWSWTDJIG2 · pith_short_8: XJ77ALMW

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/XJ77ALMWSWTDJIG2A6QYHXFYBF \
  | 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: ba7ff02d9695a634a0da07a183dcb8097668274f9ca950d6ae1a3cbc230c9553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2af2614ae06ea20a4693224d50b12e0652cd7c0e4c6c64640da748f2ac885f91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-10-14T10:42:46Z",
    "title_canon_sha256": "f6032a3f82fd2bb4fcea8541dc82cf27038d837a8a80fc5ae0cb392eea105aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3171",
    "kind": "arxiv",
    "version": 1
  }
}