Pith Number

pith:FBMXOLIZ

pith:2003:FBMXOLIZZUJAYEX2FEGJNALIWD

not attested not anchored not stored refs pending

The Helically-Reduced Wave Equation as a Symmetric-Positive System

C. G. Torre

arxiv:math-ph/0309008 v1 · 2003-09-02 · 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{FBMXOLIZZUJAYEX2FEGJNALIWD}

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	2026-05-18T01:38:33.711489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2859772d19cd120c12fa290c968168b0ee35873d9f9fc38d48ccde71f8422db4

Aliases

arxiv: math-ph/0309008 · arxiv_version: math-ph/0309008v1 · doi: 10.48550/arxiv.math-ph/0309008 · pith_short_12: FBMXOLIZZUJA · pith_short_16: FBMXOLIZZUJAYEX2 · pith_short_8: FBMXOLIZ

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/FBMXOLIZZUJAYEX2FEGJNALIWD \
  | 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: 2859772d19cd120c12fa290c968168b0ee35873d9f9fc38d48ccde71f8422db4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03ae0bde8d748ca664e6e38e4a32b1f7aea8f92640fc4619def9502552e39416",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-09-02T21:17:06Z",
    "title_canon_sha256": "2bee89ca7bab945c3b7b9efcdba5b4139115fe6025eace879afd7b15bc2210c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0309008",
    "kind": "arxiv",
    "version": 1
  }
}