Pith Number

pith:OCOJWQZ2

pith:2025:OCOJWQZ2UEGZVMK77SJURQCX2M

not attested not anchored not stored refs pending

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces

Netzer Moriya

arxiv:2506.16847 v1 · 2025-06-20 · physics.optics · math-ph · math.MP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OCOJWQZ2UEGZVMK77SJURQCX2M}

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	2026-07-05T11:24:43.844372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

709c9b433aa10d9ab15ffc9348c057d33e2623992e8887087aae7e0338ef2a05

Aliases

arxiv: 2506.16847 · arxiv_version: 2506.16847v1 · doi: 10.48550/arxiv.2506.16847 · pith_short_12: OCOJWQZ2UEGZ · pith_short_16: OCOJWQZ2UEGZVMK7 · pith_short_8: OCOJWQZ2

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/OCOJWQZ2UEGZVMK77SJURQCX2M \
  | 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: 709c9b433aa10d9ab15ffc9348c057d33e2623992e8887087aae7e0338ef2a05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70ae682e6cb574992102336584f0da37ea2b3e23e1736874a781a9ff61a69ee8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-06-20T08:51:59Z",
    "title_canon_sha256": "fdd8485909bc9e3f55a0a3822a02cd8dbd5ff4f4175ca46ae17e5c52c888e8bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16847",
    "kind": "arxiv",
    "version": 1
  }
}