Pith Number

pith:E5AYOKVJ

pith:2014:E5AYOKVJLSRI4DVJ5DZAI35BUN

not attested not anchored not stored refs pending

Generalized Unitarity and Reciprocity Relations for PT-symmetric Scattering Potentials

Ali Mostafazadeh

arxiv:1405.4212 v1 · 2014-05-16 · quant-ph · math-ph · math.MP · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5AYOKVJLSRI4DVJ5DZAI35BUN}

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	2026-05-18T02:23:58.644503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2741872aa95ca28e0ea9e8f2046fa1a3539b98ed04aedd2e448dbf07db4cc839

Aliases

arxiv: 1405.4212 · arxiv_version: 1405.4212v1 · doi: 10.48550/arxiv.1405.4212 · pith_short_12: E5AYOKVJLSRI · pith_short_16: E5AYOKVJLSRI4DVJ · pith_short_8: E5AYOKVJ

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/E5AYOKVJLSRI4DVJ5DZAI35BUN \
  | 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: 2741872aa95ca28e0ea9e8f2046fa1a3539b98ed04aedd2e448dbf07db4cc839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6158b88c51a9358f87db6e5cfb7e0b411da6b88444ea7559f07e22e798b163ba",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-05-16T15:36:49Z",
    "title_canon_sha256": "2341b588c28c0c206939856179ed80af01a2995af27c727bd2a6fa942b789015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4212",
    "kind": "arxiv",
    "version": 1
  }
}