pith. sign in
Pith Number

pith:W4AIIRPP

pith:2013:W4AIIRPP4S54AYKZM7NLDZD26M
not attested not anchored not stored refs pending

Anderson localization of light with topological dislocations

Lluis Torner, Valery E. Lobanov, Victor A. Vysloukh, Yaroslav V. Kartashov

arxiv:1311.0209 v1 · 2013-11-01 · physics.optics · nlin.PS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{W4AIIRPP4S54AYKZM7NLDZD26M}

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 2026-05-18T01:46:39.972944Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b7008445efe4bbc0615967dab1e47af32c9abd2b35ff45284c366172bae6399c

Aliases

arxiv: 1311.0209 · arxiv_version: 1311.0209v1 · doi: 10.48550/arxiv.1311.0209 · pith_short_12: W4AIIRPP4S54 · pith_short_16: W4AIIRPP4S54AYKZ · pith_short_8: W4AIIRPP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/W4AIIRPP4S54AYKZM7NLDZD26M \
  | 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: b7008445efe4bbc0615967dab1e47af32c9abd2b35ff45284c366172bae6399c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a1f15aec4d03fac9722a487e18817907d5a9fd4511f3daf14571791cc23caecc",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-11-01T15:46:51Z",
    "title_canon_sha256": "4c7dcddabc37a6683b62b20d21b51656398e0fe83cf7b993d2090a1a2f035844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0209",
    "kind": "arxiv",
    "version": 1
  }
}