Pith Number

pith:ZAORIO5L

pith:2004:ZAORIO5LZUJMIJAYWQSVNPKFNN

not attested not anchored not stored refs pending

Multicolor vortex solitons in two-dimensional photonic lattices

Dumitru Mihalache, Lluis Torner, Lucian-Cornel Crasovan, Yaroslav V. Kartashov, Zhiyong Xu

arxiv:nlin/0412021 v2 · 2004-12-07 · nlin.PS · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAORIO5LZUJMIJAYWQSVNPKFNN}

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	2026-07-04T16:49:27.394624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c81d143babcd12c42418b42556bd456b7b045a755f3bbb4a6f1c02e25ffe6fa3

Aliases

arxiv: nlin/0412021 · arxiv_version: nlin/0412021v2 · doi: 10.48550/arxiv.nlin/0412021 · pith_short_12: ZAORIO5LZUJM · pith_short_16: ZAORIO5LZUJMIJAY · pith_short_8: ZAORIO5L

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/ZAORIO5LZUJMIJAYWQSVNPKFNN \
  | 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: c81d143babcd12c42418b42556bd456b7b045a755f3bbb4a6f1c02e25ffe6fa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b341bb50a3c0ab7d391ba0c3317674f11039ca5afdf4c2143fff922c3ac8d4f6",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "nlin.PS",
    "submitted_at": "2004-12-07T10:12:10Z",
    "title_canon_sha256": "e601dfa362738aea6f9afb79261beff57abb89346b019d21012d37ada6a60365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0412021",
    "kind": "arxiv",
    "version": 2
  }
}