pith. sign in
Pith Number

pith:WSG553CG

pith:2000:WSG553CGUBXBKXTFC5XSYYMSPK
not attested not anchored not stored refs pending

Extended covariance under nonlinear canonical transformation in Weyl quantization

T. Hakioglu

arxiv:quant-ph/0011076 v3 · 2000-11-18 · quant-ph · cond-mat.stat-mech · hep-th · math-ph · math.MP · nlin.CD · nlin.SI · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WSG553CGUBXBKXTFC5XSYYMSPK}

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 2026-05-18T01:05:05.174427Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b48ddeec46a06e155e65176f2c61927a81a92a473547085097e4a1e3c9970d9d

Aliases

arxiv: quant-ph/0011076 · arxiv_version: quant-ph/0011076v3 · doi: 10.48550/arxiv.quant-ph/0011076 · pith_short_12: WSG553CGUBXB · pith_short_16: WSG553CGUBXBKXTF · pith_short_8: WSG553CG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WSG553CGUBXBKXTFC5XSYYMSPK \
  | 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: b48ddeec46a06e155e65176f2c61927a81a92a473547085097e4a1e3c9970d9d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "13eb32106f7f265e1949bf54c587912ff7b8671d4a07b44b7d1c1210ff272b66",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math-ph",
      "math.MP",
      "nlin.CD",
      "nlin.SI",
      "physics.optics"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-11-18T05:46:26Z",
    "title_canon_sha256": "26018d1f681a84959f5fc56f9971be3ca49ba6ad6e1e037c791ab3c0924960e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0011076",
    "kind": "arxiv",
    "version": 3
  }
}