Pith Number

pith:HZO4UEGD

pith:2012:HZO4UEGD5TYLQHPJNVQDMGR727

not attested not anchored not stored refs pending

Vortex soliton tori with multiple nested phase singularities in dissipative media

Lluis Torner, Olga V. Borovkova, Valery E. Lobanov, Yaroslav V. Kartashov

arxiv:1201.4838 v1 · 2012-01-23 · physics.optics · 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{HZO4UEGD5TYLQHPJNVQDMGR727}

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	2026-05-18T01:58:43.239105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e5dca10c3ecf0b81de96d60361a3fd7c0121c7af6e2559c2744b1c313aa745d

Aliases

arxiv: 1201.4838 · arxiv_version: 1201.4838v1 · doi: 10.48550/arxiv.1201.4838 · pith_short_12: HZO4UEGD5TYL · pith_short_16: HZO4UEGD5TYLQHPJ · pith_short_8: HZO4UEGD

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/HZO4UEGD5TYLQHPJNVQDMGR727 \
  | 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: 3e5dca10c3ecf0b81de96d60361a3fd7c0121c7af6e2559c2744b1c313aa745d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbf9455a33071e5d133a8b51d57a36d259c6234b09b015cdee2016d1ff9d5403",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-01-23T19:51:54Z",
    "title_canon_sha256": "75a8492ffae6ffe8506ef6fe1caaadabe42573782dd69f91224446b051c74d35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4838",
    "kind": "arxiv",
    "version": 1
  }
}