Pith Number

pith:CLP73Q65

pith:2015:CLP73Q65LSHNTFD3FE3O2EHKKI

not attested not anchored not stored refs pending

The mode solution of the wave equation in Kasner spacetimes and redshift

Oliver Lindblad Petersen

arxiv:1503.02411 v2 · 2015-03-09 · math-ph · gr-qc · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLP73Q65LSHNTFD3FE3O2EHKKI}

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	2026-05-18T00:52:34.614776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12dffdc3dd5c8ed9947b2936ed10ea522aea2ed669b4f50f782e54c0e7357222

Aliases

arxiv: 1503.02411 · arxiv_version: 1503.02411v2 · doi: 10.48550/arxiv.1503.02411 · pith_short_12: CLP73Q65LSHN · pith_short_16: CLP73Q65LSHNTFD3 · pith_short_8: CLP73Q65

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/CLP73Q65LSHNTFD3FE3O2EHKKI \
  | 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: 12dffdc3dd5c8ed9947b2936ed10ea522aea2ed669b4f50f782e54c0e7357222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5eb0402d3865032956fb91ae3d1d39a28bb004f34278cb4036bbfecead4309d",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-09T09:50:00Z",
    "title_canon_sha256": "e469cc812b459057e4942413a6833fc8516d9cfd3701f6f80b2ea6e471fd084a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02411",
    "kind": "arxiv",
    "version": 2
  }
}