Pith Number

pith:ZFHAQ74D

pith:2015:ZFHAQ74DQ5KQACTKEFZ7QEB7XI

not attested not anchored not stored refs pending

Localization of states, Bloch wave and quantum phase transitions in SUSY deformed potentials in non-Hermitian optical systems

Muhammad Imran Afzal, Yong Tak Lee

arxiv:1504.03086 v4 · 2015-04-13 · physics.optics · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFHAQ74DQ5KQACTKEFZ7QEB7XI}

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	2026-05-18T01:00:03.281092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c94e087f838755000a6a2173f8103fba15e7ff13289fc706e2e8c5f1dcf6a79d

Aliases

arxiv: 1504.03086 · arxiv_version: 1504.03086v4 · doi: 10.48550/arxiv.1504.03086 · pith_short_12: ZFHAQ74DQ5KQ · pith_short_16: ZFHAQ74DQ5KQACTK · pith_short_8: ZFHAQ74D

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/ZFHAQ74DQ5KQACTKEFZ7QEB7XI \
  | 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: c94e087f838755000a6a2173f8103fba15e7ff13289fc706e2e8c5f1dcf6a79d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c270cf14d32a2805bbae3366684c2888576568174c0d70e40d0dd05ec59e499",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-04-13T07:58:42Z",
    "title_canon_sha256": "5571010729ddf567b5bdea573202e7223e2f230374bf9a806d9febf3dc209f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03086",
    "kind": "arxiv",
    "version": 4
  }
}