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Pith Number

pith:ZJ36DV5R

pith:2013:ZJ36DV5RB36ZVHRACHRLXNVFUK
not attested not anchored not stored refs pending

Solitary vortices supported by localized parametric gain

Boris A. Malomed, Changming Huang, Fangwei Ye, Xianfeng Chen, Yaroslav V. Kartashov

arxiv:1305.5167 v1 · 2013-05-22 · nlin.PS · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZJ36DV5RB36ZVHRACHRLXNVFUK}

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 2026-05-18T01:17:21.008706Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ca77e1d7b10efd9a9e2011e2bbb6a5a29f238db754a75238b6f4e4870197b4af

Aliases

arxiv: 1305.5167 · arxiv_version: 1305.5167v1 · doi: 10.48550/arxiv.1305.5167 · pith_short_12: ZJ36DV5RB36Z · pith_short_16: ZJ36DV5RB36ZVHRA · pith_short_8: ZJ36DV5R
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZJ36DV5RB36ZVHRACHRLXNVFUK \
  | 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: ca77e1d7b10efd9a9e2011e2bbb6a5a29f238db754a75238b6f4e4870197b4af
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "33f56d55181cbac7b25c50b392499828e2f7fe34f70b9331cc85249de27cccff",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2013-05-22T15:22:39Z",
    "title_canon_sha256": "47c9a5c76d9c4493cf1e737f50725004a36b19ae2e547807dd35dc2b0fcaeb5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5167",
    "kind": "arxiv",
    "version": 1
  }
}