Pith Number

pith:RMGDOATO

pith:2009:RMGDOATOKBU7PCIXLGEHZWKJPB

not attested not anchored not stored refs pending

Modal Decomposition of the von-K\'arm\'an Covariance of Atmospheric Turbulence in the Circular Entrance Pupil

Richard J. Mathar

arxiv:0911.4710 v2 · 2009-11-24 · astro-ph.IM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMGDOATOKBU7PCIXLGEHZWKJPB}

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	2026-05-18T04:37:10.481930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b0c37026e5069f7891759887cd949786b8313c76d428adcdea5038079f7e76a

Aliases

arxiv: 0911.4710 · arxiv_version: 0911.4710v2 · doi: 10.48550/arxiv.0911.4710 · pith_short_12: RMGDOATOKBU7 · pith_short_16: RMGDOATOKBU7PCIX · pith_short_8: RMGDOATO

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/RMGDOATOKBU7PCIXLGEHZWKJPB \
  | 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: 8b0c37026e5069f7891759887cd949786b8313c76d428adcdea5038079f7e76a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23f314ad12f3ffda63d0c97fc92a5cbb0c375ca5e50ea694d9c8790bf92f0c30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2009-11-24T20:34:32Z",
    "title_canon_sha256": "b18cd6916afd849e66ec4d36f61b6bac896d3f1907b72f4ebda279720b3a2d98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4710",
    "kind": "arxiv",
    "version": 2
  }
}