Pith Number

pith:A67WN32M

pith:2004:A67WN32MLVKQWY3RQPIOXVHE2Q

not attested not anchored not stored refs pending

Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT-symmetry

Alberto Ventura, Emanuela Caliceti, Francesco Cannata, Miloslav Znojil

arxiv:math-ph/0406031 v2 · 2004-06-15 · 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{A67WN32MLVKQWY3RQPIOXVHE2Q}

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	2026-07-04T15:42:39.423565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07bf66ef4c5d550b637183d0ebd4e4d405d5ce799c36d7c6dfb8abb42ff8dc7e

Aliases

arxiv: math-ph/0406031 · arxiv_version: math-ph/0406031v2 · doi: 10.48550/arxiv.math-ph/0406031 · pith_short_12: A67WN32MLVKQ · pith_short_16: A67WN32MLVKQWY3R · pith_short_8: A67WN32M

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/A67WN32MLVKQWY3RQPIOXVHE2Q \
  | 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: 07bf66ef4c5d550b637183d0ebd4e4d405d5ce799c36d7c6dfb8abb42ff8dc7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76a741468a352c17bf9929b0108add37f6bff8eea8d6f72c852e65269c9a28e5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-06-15T16:21:38Z",
    "title_canon_sha256": "ed3c4a169d81e642a9e54c47b458eb573c656a78562cb538eaec941fff8388b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0406031",
    "kind": "arxiv",
    "version": 2
  }
}