Pith Number

pith:TX5RVKPT

pith:2011:TX5RVKPTN73O5APX77FQ4CVC5V

not attested not anchored not stored refs pending

Light localization in nonuniformly randomized lattices

Lluis Torner, Victor A. Vysloukh, Vladimir V. Konotop, Yaroslav V. Kartashov

arxiv:1111.5602 v1 · 2011-11-23 · physics.optics · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TX5RVKPTN73O5APX77FQ4CVC5V}

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	2026-05-18T01:59:26.158094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dfb1aa9f36ff6ee81f7ffcb0e0aa2ed51e4d2641b31f7eacef0e3ba045b7297

Aliases

arxiv: 1111.5602 · arxiv_version: 1111.5602v1 · doi: 10.48550/arxiv.1111.5602 · pith_short_12: TX5RVKPTN73O · pith_short_16: TX5RVKPTN73O5APX · pith_short_8: TX5RVKPT

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/TX5RVKPTN73O5APX77FQ4CVC5V \
  | 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: 9dfb1aa9f36ff6ee81f7ffcb0e0aa2ed51e4d2641b31f7eacef0e3ba045b7297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cfcf6154156da914680b48e4020a39b82f6c4a562905aa484d9378737d5b29f",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-11-23T20:09:22Z",
    "title_canon_sha256": "adcea6ad81f3a847bf54c0d1f4c61167cc3080cb43d1cc7470cf75c78e0275d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5602",
    "kind": "arxiv",
    "version": 1
  }
}