Pith Number

pith:UMB4APZA

pith:2019:UMB4APZAVJIQSS36C4C5BB727B

not attested not anchored not stored refs pending

Robust PT symmetry of two-dimensional fundamental and vortex solitons supported by spatially modulated nonlinearity

Boris A. Malomed, Eitam Luz, Er'el Granot, Vitaly Lutsky

arxiv:1902.06910 v1 · 2019-02-19 · 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{UMB4APZAVJIQSS36C4C5BB727B}

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	2026-05-17T23:53:08.592124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a303c03f20aa51094b7e1705d087faf86ae5d5af650d41c0446a1ed2e927e459

Aliases

arxiv: 1902.06910 · arxiv_version: 1902.06910v1 · doi: 10.48550/arxiv.1902.06910 · pith_short_12: UMB4APZAVJIQ · pith_short_16: UMB4APZAVJIQSS36 · pith_short_8: UMB4APZA

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/UMB4APZAVJIQSS36C4C5BB727B \
  | 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: a303c03f20aa51094b7e1705d087faf86ae5d5af650d41c0446a1ed2e927e459

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0beb05918837c06fba8893333e197247d97f53da26a08d401e621abc97bd1388",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-02-19T06:07:06Z",
    "title_canon_sha256": "0df4535c2cf7995e04cceb860dcf231e7c91cd3e2b033adb4fd4e0a8c172372d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06910",
    "kind": "arxiv",
    "version": 1
  }
}