Pith Number

pith:Q3HXUEP3

pith:2010:Q3HXUEP3H5UWPDYLFW42FIWZOA

not attested not anchored not stored refs pending

Ray model and ray-wave correspondence in coupled optical microdisks

Jung-Wan Ryu, Martina Hentschel

arxiv:1009.2332 v1 · 2010-09-13 · physics.optics · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3HXUEP3H5UWPDYLFW42FIWZOA}

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	2026-05-18T02:05:31.340737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86cf7a11fb3f69678f0b2db9a2a2d9701f9ba666d12e9c54be658d4cfd44ff94

Aliases

arxiv: 1009.2332 · arxiv_version: 1009.2332v1 · doi: 10.48550/arxiv.1009.2332 · pith_short_12: Q3HXUEP3H5UW · pith_short_16: Q3HXUEP3H5UWPDYL · pith_short_8: Q3HXUEP3

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/Q3HXUEP3H5UWPDYLFW42FIWZOA \
  | 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: 86cf7a11fb3f69678f0b2db9a2a2d9701f9ba666d12e9c54be658d4cfd44ff94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a8fe0124667be8f307b06fde4f4ab102f37560957072d614a1226f00d866c76",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-09-13T09:15:28Z",
    "title_canon_sha256": "2a8833861aff6e739223b9f922a061822dc431968d227371eae5d9768ec9feee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2332",
    "kind": "arxiv",
    "version": 1
  }
}