Pith Number

pith:ASACMCEP

pith:2016:ASACMCEPR2AWISFZZIZZHUZVIM

not attested not anchored not stored refs pending

Rotating vortex clusters in media with inhomogeneous defocusing nonlinearity

Boris A. Malomed, Lluis Torner, Milivoj R. Belic, Victor A. Vysloukh, Yaroslav V. Kartashov

arxiv:1612.06989 v1 · 2016-12-21 · physics.optics · cond-mat.quant-gas · 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{ASACMCEPR2AWISFZZIZZHUZVIM}

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	2026-05-18T00:47:05.151244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

048026088f8e816448b9ca3393d335430485bc0e9ee86f91db53a3c62b2b6b07

Aliases

arxiv: 1612.06989 · arxiv_version: 1612.06989v1 · doi: 10.48550/arxiv.1612.06989 · pith_short_12: ASACMCEPR2AW · pith_short_16: ASACMCEPR2AWISFZ · pith_short_8: ASACMCEP

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/ASACMCEPR2AWISFZZIZZHUZVIM \
  | 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: 048026088f8e816448b9ca3393d335430485bc0e9ee86f91db53a3c62b2b6b07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ff77d66e545fa9c74bbe9cf9eee9421ecac834ad5bc1d1c66ffbb8f695283ac",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-12-21T06:43:34Z",
    "title_canon_sha256": "6969604c319119755d3d4183a207a3a128e74ef7916f01afd0a8939c9827ef1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06989",
    "kind": "arxiv",
    "version": 1
  }
}