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Pith Number

pith:BBU4ILFY

pith:2001:BBU4ILFY7SV2V3O5NCYBQKLW4C
not attested not anchored not stored refs pending

Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Ali Mostafazadeh

arxiv:math-ph/0107001 v3 · 2001-07-01 · math-ph · hep-th · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BBU4ILFY7SV2V3O5NCYBQKLW4C}

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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.

Cited by

7 papers in Pith

Receipt and verification
First computed 2026-05-18T01:05:32.073570Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0869c42cb8fcabaaeddd68b0182976e0a9902fc8493f4d195962c6f7b6e1920c

Aliases

arxiv: math-ph/0107001 · arxiv_version: math-ph/0107001v3 · doi: 10.48550/arxiv.math-ph/0107001 · pith_short_12: BBU4ILFY7SV2 · pith_short_16: BBU4ILFY7SV2V3O5 · pith_short_8: BBU4ILFY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BBU4ILFY7SV2V3O5NCYBQKLW4C \
  | 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: 0869c42cb8fcabaaeddd68b0182976e0a9902fc8493f4d195962c6f7b6e1920c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ebc1e073d101d6e8db6b241bc1ebe3d4d2802545887091ef305b884deca5c3cd",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-07-01T17:37:02Z",
    "title_canon_sha256": "edf7daa11547cc04aeaa716bc020b842f93729319789826a3f74bf2effa14471"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0107001",
    "kind": "arxiv",
    "version": 3
  }
}