Pith Number

pith:HEKBAFD4

pith:2009:HEKBAFD4FEGZBSQDYMWIPTUMHN

not attested not anchored not stored refs pending

Quasi-planar optics: computing light propagation and scattering in planar waveguide arrays

Justin Elser, Sukosin Thongrattanasiri, Viktor A. Podolskiy

arxiv:0907.5419 v1 · 2009-07-30 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HEKBAFD4FEGZBSQDYMWIPTUMHN}

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	2026-05-18T02:12:45.992266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

391410147c290d90ca03c32c87ce8c3b685124b7fad9f3f2fe9ca43442335b00

Aliases

arxiv: 0907.5419 · arxiv_version: 0907.5419v1 · doi: 10.48550/arxiv.0907.5419 · pith_short_12: HEKBAFD4FEGZ · pith_short_16: HEKBAFD4FEGZBSQD · pith_short_8: HEKBAFD4

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/HEKBAFD4FEGZBSQDYMWIPTUMHN \
  | 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: 391410147c290d90ca03c32c87ce8c3b685124b7fad9f3f2fe9ca43442335b00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecd74db7cb3d5688b0387e1fda6e338404c687185466874bc782f2b461ede62c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2009-07-30T22:20:16Z",
    "title_canon_sha256": "65e50e3c8a3dd62c8c507bdc881396b3a83d04750ed36cf60efa7e4289375d7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5419",
    "kind": "arxiv",
    "version": 1
  }
}