Pith Number

pith:HI5BYSBW

pith:1999:HI5BYSBWDO7W423ESDYMXZMU4J

not attested not anchored not stored refs pending

Exact Nonnull Wavelike Solutions to Gravity with Quadratic Lagrangians

Mark D. Roberts

arxiv:gr-qc/9904007 v1 · 1999-04-04 · 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{HI5BYSBWDO7W423ESDYMXZMU4J}

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	2026-05-18T04:25:11.859475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a3a1c48361bbf6e6b6490f0cbe594e24ce9fa2cce69aabeaaf53fccf4fbc3a4

Aliases

arxiv: gr-qc/9904007 · arxiv_version: gr-qc/9904007v1 · doi: 10.48550/arxiv.gr-qc/9904007 · pith_short_12: HI5BYSBWDO7W · pith_short_16: HI5BYSBWDO7W423E · pith_short_8: HI5BYSBW

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/HI5BYSBWDO7W423ESDYMXZMU4J \
  | 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: 3a3a1c48361bbf6e6b6490f0cbe594e24ce9fa2cce69aabeaaf53fccf4fbc3a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8500fad757f9d5fb576f01d66108c6c991332cc50e8cea2059d1b50036ef0b34",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-04-04T15:52:34Z",
    "title_canon_sha256": "12a910f7db237ae2c4c0a17fbdfefedefd0296f181ed72cc8d5f9994aa86d830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9904007",
    "kind": "arxiv",
    "version": 1
  }
}