Pith Number

pith:3I76VOJQ

pith:1999:3I76VOJQFTCA7XHDCFTW7SAA4F

not attested not anchored not stored refs pending

Comment on Ricci Collineations for type B warped space-times

Michael Tsamparlis, Pantelis S. Apostolopoulos

arxiv:gr-qc/9910028 v2 · 1999-10-08 · 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{3I76VOJQFTCA7XHDCFTW7SAA4F}

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	2026-05-18T01:39:17.789958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da3feab9302cc40fdce311676fc800e1742610204e9555afcf6a0002c494b036

Aliases

arxiv: gr-qc/9910028 · arxiv_version: gr-qc/9910028v2 · doi: 10.48550/arxiv.gr-qc/9910028 · pith_short_12: 3I76VOJQFTCA · pith_short_16: 3I76VOJQFTCA7XHD · pith_short_8: 3I76VOJQ

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/3I76VOJQFTCA7XHDCFTW7SAA4F \
  | 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: da3feab9302cc40fdce311676fc800e1742610204e9555afcf6a0002c494b036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c04c4cc7e7daf6a59152cbfa9d08be4fe7cc2b952dde6cb186c9669114b3201",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-10-08T05:51:25Z",
    "title_canon_sha256": "a6d0d61e86b9b4ad575734ba1a023571cad1cbed227601fb15917c26bdb866df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9910028",
    "kind": "arxiv",
    "version": 2
  }
}