Pith Number

pith:4OJM3PP7

pith:2011:4OJM3PP7DPBDFEOXVCDGBJ7IB7

not attested not anchored not stored refs pending

Light propagation and localization in modulated photonic lattices and waveguides

Andrey A. Sukhorukov, Ivan L. Garanovich, Stefano Longhi, Yuri S. Kivshar

arxiv:1107.2992 v1 · 2011-07-15 · physics.optics · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OJM3PP7DPBDFEOXVCDGBJ7IB7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:41:12.757386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e392cdbdff1bc23291d7a88660a7e80fc2932b6648fb7c11d1ca4f328cac3870

Aliases

arxiv: 1107.2992 · arxiv_version: 1107.2992v1 · doi: 10.48550/arxiv.1107.2992 · pith_short_12: 4OJM3PP7DPBD · pith_short_16: 4OJM3PP7DPBDFEOX · pith_short_8: 4OJM3PP7

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/4OJM3PP7DPBDFEOXVCDGBJ7IB7 \
  | 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: e392cdbdff1bc23291d7a88660a7e80fc2932b6648fb7c11d1ca4f328cac3870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22ec64e7b9b4e12adba840cda5edec49f94b78c6f68a33ad50f477be5e22447e",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-07-15T04:55:46Z",
    "title_canon_sha256": "9027bcff54918a689b71889ef02ea0b9ccec15d611c6798dc6edca76b7483aa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2992",
    "kind": "arxiv",
    "version": 1
  }
}