Pith Number

pith:BANEV4VF

pith:2012:BANEV4VFEKUD4YRD4ON6ZAN7LE

not attested not anchored not stored refs pending

Nonuniqueness of Representations of Wave Equations in Lorentzian Space-Times

Horst Reinhard Beyer

arxiv:1211.4426 v1 · 2012-11-19 · gr-qc · math-ph · 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{BANEV4VFEKUD4YRD4ON6ZAN7LE}

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	2026-05-18T03:40:26.965916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

081a4af2a522a83e6223e39bec81bf591b84571514517395e62a4dc4188aa4e9

Aliases

arxiv: 1211.4426 · arxiv_version: 1211.4426v1 · doi: 10.48550/arxiv.1211.4426 · pith_short_12: BANEV4VFEKUD · pith_short_16: BANEV4VFEKUD4YRD · pith_short_8: BANEV4VF

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/BANEV4VFEKUD4YRD4ON6ZAN7LE \
  | 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: 081a4af2a522a83e6223e39bec81bf591b84571514517395e62a4dc4188aa4e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17d58f0054827a95d20f4283109cef44fcf994399f5d0af4a109ecb4a3cddc29",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-11-19T14:14:58Z",
    "title_canon_sha256": "cd452397e483d3fd895cb5e07a18072f1316328e6a62939445d185696c24d033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4426",
    "kind": "arxiv",
    "version": 1
  }
}