Pith Number

pith:HLQYQBTW

pith:2011:HLQYQBTWQDXXUMN46HULGADZ65

not attested not anchored not stored refs pending

PT Symmetric, Hermitian and P-Self-Adjoint Operators Related to Potentials in PT Quantum Mechanics

Carsten Trunk, Tomas Azizov

arxiv:1108.5923 v2 · 2011-08-30 · quant-ph · 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{HLQYQBTWQDXXUMN46HULGADZ65}

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	2026-05-18T02:00:44.733105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ae188067680ef7a31bcf1e8b30079f77771b72cb3815af228f156a54982185d

Aliases

arxiv: 1108.5923 · arxiv_version: 1108.5923v2 · doi: 10.48550/arxiv.1108.5923 · pith_short_12: HLQYQBTWQDXX · pith_short_16: HLQYQBTWQDXXUMN4 · pith_short_8: HLQYQBTW

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/HLQYQBTWQDXXUMN46HULGADZ65 \
  | 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: 3ae188067680ef7a31bcf1e8b30079f77771b72cb3815af228f156a54982185d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d220c61bcf4bb6deed7e68595b9889a5ddedc28ba2161fcb3d203cd318ee9c7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-08-30T11:25:29Z",
    "title_canon_sha256": "2cec9adc91317aefb694ad9c2eb30250f466e1e195dda84fbc39f6a4628272dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5923",
    "kind": "arxiv",
    "version": 2
  }
}