Pith Number

pith:PMTKNBDH

pith:2011:PMTKNBDHZZOINXCKGIL5MTTEV7

not attested not anchored not stored refs pending

Nonlinearly-PT-symmetric systems: spontaneous symmetry breaking and transmission resonances

Andrey E. Miroshnichenko, Boris A. Malomed, Yuri S. Kivshar

arxiv:1104.0849 v1 · 2011-04-05 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMTKNBDHZZOINXCKGIL5MTTEV7}

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	2026-05-18T02:02:37.842847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b26a68467ce5c86dc4a3217d64e64affbf2a9889b1f3ffd67accd3070b88f12

Aliases

arxiv: 1104.0849 · arxiv_version: 1104.0849v1 · doi: 10.48550/arxiv.1104.0849 · pith_short_12: PMTKNBDHZZOI · pith_short_16: PMTKNBDHZZOINXCK · pith_short_8: PMTKNBDH

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/PMTKNBDHZZOINXCKGIL5MTTEV7 \
  | 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: 7b26a68467ce5c86dc4a3217d64e64affbf2a9889b1f3ffd67accd3070b88f12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec9a749e0073a59abba17c6dc1581d3554f0a080f0888e1035469f464223bd46",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-05T13:54:24Z",
    "title_canon_sha256": "dce93f5c57c881de30bcf9926aadcab6240fa4b0616d10f42b462984d66462ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0849",
    "kind": "arxiv",
    "version": 1
  }
}