Pith Number

pith:HRPCHU5Y

pith:2010:HRPCHU5YVVQOAHPUQJKGWE5SKJ

not attested not anchored not stored refs pending

Angular Spectral Plane-Wave Expansion of Nonstationary Random Fields in Stochastic Mode-Stirred Reverberation Processes

Luk R. Arnaut

arxiv:1004.2268 v1 · 2010-04-13 · physics.optics · math-ph · math.MP · physics.class-ph · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HRPCHU5YVVQOAHPUQJKGWE5SKJ}

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	2026-05-18T02:08:05.966533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c5e23d3b8ad60e01df482546b13b2526a26f6ae702a78a3022a423a51859bde

Aliases

arxiv: 1004.2268 · arxiv_version: 1004.2268v1 · doi: 10.48550/arxiv.1004.2268 · pith_short_12: HRPCHU5YVVQO · pith_short_16: HRPCHU5YVVQOAHPU · pith_short_8: HRPCHU5Y

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/HRPCHU5YVVQOAHPUQJKGWE5SKJ \
  | 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: 3c5e23d3b8ad60e01df482546b13b2526a26f6ae702a78a3022a423a51859bde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7020022a238162001443a974871fa7ccfa084dddfb9f5bc9a146cfe79bea552a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.class-ph",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-04-13T21:01:47Z",
    "title_canon_sha256": "078a8f3da05f5605256ba01f3d6b003f78539a0d1df342c7e8e93049f56618cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2268",
    "kind": "arxiv",
    "version": 1
  }
}