Pith Number

pith:LANUPUOW

pith:2017:LANUPUOWVQZX654S76SKCMLOV4

not attested not anchored not stored refs pending

A note on proper affine symmetry in Bianchi types VIII and IX space-times

Ghulam Shabbir, Muhammad Rafiq

arxiv:1701.02217 v1 · 2017-01-09 · 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{LANUPUOWVQZX654S76SKCMLOV4}

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	2026-05-18T00:53:11.411895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

581b47d1d6ac337f7792ffa4a1316eaf0e6805b5c8d1323f9905dad3e2511fb7

Aliases

arxiv: 1701.02217 · arxiv_version: 1701.02217v1 · doi: 10.48550/arxiv.1701.02217 · pith_short_12: LANUPUOWVQZX · pith_short_16: LANUPUOWVQZX654S · pith_short_8: LANUPUOW

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/LANUPUOWVQZX654S76SKCMLOV4 \
  | 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: 581b47d1d6ac337f7792ffa4a1316eaf0e6805b5c8d1323f9905dad3e2511fb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3da93eaef151c6d3f28b054fb7307b0038361200f88ef3bb4c4840dc772f9d01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-01-09T15:38:42Z",
    "title_canon_sha256": "aba18977e14d50958804fe5733a43c228ae68fff239852099f46cecd706989d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02217",
    "kind": "arxiv",
    "version": 1
  }
}