Pith Number

pith:PZOD6HHB

pith:2011:PZOD6HHBUH3AE6VBHO466V7FDZ

not attested not anchored not stored refs pending

Spontaneous symmetry breaking in Schr\"{o}dinger lattices with two nonlinear sites

Boris A. Malomed, Valeriy A. Brazhnyi

arxiv:1105.0266 v1 · 2011-05-02 · nlin.PS · cond-mat.quant-gas · 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{PZOD6HHBUH3AE6VBHO466V7FDZ}

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	2026-05-18T03:18:26.916367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e5c3f1ce1a1f6027aa13bb9ef57e51e7902edfaffcf8ed8b16583f04e7f2d1a

Aliases

arxiv: 1105.0266 · arxiv_version: 1105.0266v1 · doi: 10.48550/arxiv.1105.0266 · pith_short_12: PZOD6HHBUH3A · pith_short_16: PZOD6HHBUH3AE6VB · pith_short_8: PZOD6HHB

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/PZOD6HHBUH3AE6VBHO466V7FDZ \
  | 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: 7e5c3f1ce1a1f6027aa13bb9ef57e51e7902edfaffcf8ed8b16583f04e7f2d1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a570720524bdc3f4cba16a7632b2b4091596c05b6937cca166a9ce3e5837398",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2011-05-02T09:06:53Z",
    "title_canon_sha256": "0cf17d0bb8f4e5171dee53aa2b5e68fb6d2a04436ba4157480d527f071cb8289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0266",
    "kind": "arxiv",
    "version": 1
  }
}