Pith Number

pith:P4VYTOX6

pith:2011:P4VYTOX64YX7KYY22RGGS2WIS5

not attested not anchored not stored refs pending

Coupled-wave model for square-lattice photonic-crystal lasers with TE polarization -- a general approach

Chao Peng, Kyosuke Sakai, Seita Iwahashi, Susumu Noda, Yong Liang

arxiv:1107.1772 v1 · 2011-07-09 · 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{P4VYTOX64YX7KYY22RGGS2WIS5}

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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	2026-05-18T02:01:20.970796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f2b89bafee62ff5631ad44c696ac89747f3b4b5d63c8d13a812d69c692ea834

Aliases

arxiv: 1107.1772 · arxiv_version: 1107.1772v1 · doi: 10.48550/arxiv.1107.1772 · pith_short_12: P4VYTOX64YX7 · pith_short_16: P4VYTOX64YX7KYY2 · pith_short_8: P4VYTOX6

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/P4VYTOX64YX7KYY22RGGS2WIS5 \
  | 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: 7f2b89bafee62ff5631ad44c696ac89747f3b4b5d63c8d13a812d69c692ea834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "101d579a8935e139bfed6efe4a7b62ce16a1aa7d64ad4a1f3de8d595573ad1f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-07-09T11:05:46Z",
    "title_canon_sha256": "5e719840ff382d042ed0ae464ce9274f3b80081831d16cf02382d95046475e2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1772",
    "kind": "arxiv",
    "version": 1
  }
}