Pith Number

pith:QP6ONFU6

pith:2003:QP6ONFU6RV2RK4CGP3HAUDNB23

not attested not anchored not stored refs pending

Note on Matter Collineations in Kantowski-Sachs, Bianchi Types I and III Spacetimes

Michael Tsamparlis, Pantelis S. Apostolopoulos

arxiv:gr-qc/0305016 v1 · 2003-05-04 · 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{QP6ONFU6RV2RK4CGP3HAUDNB23}

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	2026-05-18T01:39:23.079334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83fce6969e8d751570467ece0a0da1d6f086f8d6a9be1af1d9ba887802927eee

Aliases

arxiv: gr-qc/0305016 · arxiv_version: gr-qc/0305016v1 · doi: 10.48550/arxiv.gr-qc/0305016 · pith_short_12: QP6ONFU6RV2R · pith_short_16: QP6ONFU6RV2RK4CG · pith_short_8: QP6ONFU6

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/QP6ONFU6RV2RK4CGP3HAUDNB23 \
  | 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: 83fce6969e8d751570467ece0a0da1d6f086f8d6a9be1af1d9ba887802927eee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2de5c2293bf96ee7675edcf6113327b20988b32efcaffba7418f9b2c9b4ab4a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-05-04T16:23:19Z",
    "title_canon_sha256": "b6fccb8e1ee13ef97c4e44f44c7460f8759701e5d8391113130e48dba93a04e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0305016",
    "kind": "arxiv",
    "version": 1
  }
}