Pith Number

pith:H6B6LOD3

pith:2021:H6B6LOD3YYMNYOJMHMQYB7MUDK

not attested not anchored not stored refs pending

Flat-floor bubbles, dark solitons, and vortices stabilized by inhomogeneous nonlinear media

Boris A. Malomed, Dumitru Mihalache, Jingzhen Li, Liangwei Zeng, Qifan Zhu, Xiaowei Lu, Yi Cai

arxiv:2108.06146 v1 · 2021-08-13 · nlin.PS · 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{H6B6LOD3YYMNYOJMHMQYB7MUDK}

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	2026-07-05T03:27:34.977900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f83e5b87bc618dc392c3b2180fd941a9213bd8fcd29ed3ad09cdc8dbd30b8dd

Aliases

arxiv: 2108.06146 · arxiv_version: 2108.06146v1 · doi: 10.48550/arxiv.2108.06146 · pith_short_12: H6B6LOD3YYMN · pith_short_16: H6B6LOD3YYMNYOJM · pith_short_8: H6B6LOD3

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/H6B6LOD3YYMNYOJMHMQYB7MUDK \
  | 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: 3f83e5b87bc618dc392c3b2180fd941a9213bd8fcd29ed3ad09cdc8dbd30b8dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07ec01939fe5c3d4f153c5c65111545f18052c3e79cada8f7dfb4910b3954207",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2021-08-13T09:39:52Z",
    "title_canon_sha256": "f1ecf942e0a07fe696d4a1eb296ed1a881cfd495633cb7bc7ff68842303bbd82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.06146",
    "kind": "arxiv",
    "version": 1
  }
}