Pith Number

pith:QYILYGDU

pith:2025:QYILYGDUKFUETLME4ND4TP6SBA

not attested not anchored not stored refs pending

Spontaneous symmetry breaking in continuous waves, dark solitons, and vortices in linearly coupled bimodal systems

Boris A. Malomed, Hidetsugu Sakaguchi

arxiv:2507.16111 v1 · 2025-07-21 · 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{QYILYGDUKFUETLME4ND4TP6SBA}

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	2026-07-05T11:41:03.196238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8610bc1874516849ad84e347c9bfd2081460aacac6c52e62c486467795f90bc2

Aliases

arxiv: 2507.16111 · arxiv_version: 2507.16111v1 · doi: 10.48550/arxiv.2507.16111 · pith_short_12: QYILYGDUKFUE · pith_short_16: QYILYGDUKFUETLME · pith_short_8: QYILYGDU

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/QYILYGDUKFUETLME4ND4TP6SBA \
  | 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: 8610bc1874516849ad84e347c9bfd2081460aacac6c52e62c486467795f90bc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05c88063bebce4f112b70f2bf840c35dacd93019fcf91e66c2de8ccf70d4acc3",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2025-07-21T23:46:58Z",
    "title_canon_sha256": "44ecf478cf9dee7a36aa90c88f961227595b95675e6429ccde81bf655d3cc6de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16111",
    "kind": "arxiv",
    "version": 1
  }
}