Pith Number

pith:2ZCS3ALJ

pith:2005:2ZCS3ALJ5GTCQHHHYAFRFS4ZHD

not attested not anchored not stored refs pending

Dual PT-Symmetric Quantum Field Theories

Carl M. Bender, H. F. Jones, R. J. Rivers

arxiv:hep-th/0508105 v1 · 2005-08-15 · 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{2ZCS3ALJ5GTCQHHHYAFRFS4ZHD}

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.

Cited by

3 papers in Pith

Non-Hermitian free-fermion critical systems and logarithmic conformal field theory

Two flavor neutrino oscillations in presence of non-Hermitian dynamics

Generalized PT-symmetric nonlinear Dirac equation: exact solitary waves solutions, stability and conservation laws

Receipt and verification

First computed	2026-05-18T01:38:45.600661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6452d8169e9a6281ce7c00b12cb9938fc76187bb4b4779d2dec53192be78d7d

Aliases

arxiv: hep-th/0508105 · arxiv_version: hep-th/0508105v1 · doi: 10.48550/arxiv.hep-th/0508105 · pith_short_12: 2ZCS3ALJ5GTC · pith_short_16: 2ZCS3ALJ5GTCQHHH · pith_short_8: 2ZCS3ALJ

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/2ZCS3ALJ5GTCQHHHYAFRFS4ZHD \
  | 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: d6452d8169e9a6281ce7c00b12cb9938fc76187bb4b4779d2dec53192be78d7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cbee922d5d12b5468aac13dbeb81b8381ff2c64f7d6fc4f0cf0bdae676a0476",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-08-15T15:58:44Z",
    "title_canon_sha256": "2bb976978598b02e8167a59b0d7a97d11c90950770bcb75f9bc9eb25f68e4192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0508105",
    "kind": "arxiv",
    "version": 1
  }
}