Pith Number

pith:QL6MRG4W

pith:2013:QL6MRG4W2EIFQZVI256QRH4DRK

not attested not anchored not stored refs pending

Twofold Transition in PT-Symmetric Coupled Oscillators

Carl M. Bender, Mariagiovanna Gianfreda

arxiv:1305.7107 v1 · 2013-05-30 · hep-th · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QL6MRG4W2EIFQZVI256QRH4DRK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:49:39.767483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82fcc89b96d1105866a8d77d089f838a86eea53fd33aaf229281415975d64f83

Aliases

arxiv: 1305.7107 · arxiv_version: 1305.7107v1 · doi: 10.48550/arxiv.1305.7107 · pith_short_12: QL6MRG4W2EIF · pith_short_16: QL6MRG4W2EIFQZVI · pith_short_8: QL6MRG4W

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/QL6MRG4W2EIFQZVI256QRH4DRK \
  | 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: 82fcc89b96d1105866a8d77d089f838a86eea53fd33aaf229281415975d64f83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2762ab2f64d232989529eb628ce3f5b060cf2bfddc31a65fa574892a674fdbc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-05-30T13:43:08Z",
    "title_canon_sha256": "1f61d6c646e2653aaf22f85f6d339259a594cf1437f93596f53df3bb79121405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7107",
    "kind": "arxiv",
    "version": 1
  }
}