Pith Number

pith:WILGO4ZD

pith:2015:WILGO4ZDGB4XQTIM64T6BB32BC

not attested not anchored not stored refs pending

Dimer with gain and loss: Integrability and $\mathcal{PT}$-symmetry restoration

D. E. Pelinovsky, I. V. Barashenkov, P. Dubard

arxiv:1506.08229 v2 · 2015-06-26 · nlin.SI · 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{WILGO4ZDGB4XQTIM64T6BB32BC}

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	2026-05-18T01:34:15.879098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2166773233079784d0cf727e0877a088222c3eeb84278139b73966e626e00fb

Aliases

arxiv: 1506.08229 · arxiv_version: 1506.08229v2 · doi: 10.48550/arxiv.1506.08229 · pith_short_12: WILGO4ZDGB4X · pith_short_16: WILGO4ZDGB4XQTIM · pith_short_8: WILGO4ZD

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/WILGO4ZDGB4XQTIM64T6BB32BC \
  | 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: b2166773233079784d0cf727e0877a088222c3eeb84278139b73966e626e00fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e90c2e987d119538844b4f2ff97c6e2f779e43f427b28f86bc892400136bada",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2015-06-26T22:17:30Z",
    "title_canon_sha256": "c80976daecaba7aab85a52f2a26206b72ff1ba45af2b99cb071e89749e52421e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08229",
    "kind": "arxiv",
    "version": 2
  }
}