Pith Number

pith:6CFEWWFL

pith:2010:6CFEWWFLVTDHBMLVTL4RMWDBN4

not attested not anchored not stored refs pending

Radially symmetric and azimuthally modulated vortex solitons supported by localized gain

Lluis Torner, Valery E. Lobanov, Victor A. Vysloukh, Yaroslav V. Kartashov

arxiv:1012.1431 v1 · 2010-12-07 · 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{6CFEWWFLVTDHBMLVTL4RMWDBN4}

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	2026-05-18T01:17:21.267484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f08a4b58abacc670b1759af91658616f27d3f79cbb9c93cc5c6ca6a4103e58da

Aliases

arxiv: 1012.1431 · arxiv_version: 1012.1431v1 · doi: 10.48550/arxiv.1012.1431 · pith_short_12: 6CFEWWFLVTDH · pith_short_16: 6CFEWWFLVTDHBMLV · pith_short_8: 6CFEWWFL

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/6CFEWWFLVTDHBMLVTL4RMWDBN4 \
  | 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: f08a4b58abacc670b1759af91658616f27d3f79cbb9c93cc5c6ca6a4103e58da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7e96fab103976ac5b2f7a6c719c6c487e93bbf77c83006e12033a7b9f8369b7",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-12-07T08:51:50Z",
    "title_canon_sha256": "f9f4eb36eb6f42a5ea7677d87479f7a3de05b18d211a2ac6ed6775829924034b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1431",
    "kind": "arxiv",
    "version": 1
  }
}