Pith Number

pith:QTYFR2ZR

pith:2005:QTYFR2ZRPFMBASYWGJTY6AM6JK

not attested not anchored not stored refs pending

Deformation Quantization and Wigner Functions

Joao Nuno Prata, Nuno Costa Dias

arxiv:hep-th/0504166 v1 · 2005-04-20 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTYFR2ZRPFMBASYWGJTY6AM6JK}

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.

Cited by

1 paper in Pith

The Feynman-Kac formula in deformation quantization

Receipt and verification

First computed	2026-07-04T16:56:09.550774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84f058eb317958104b1632678f019e4ab9c42920a63fa05196eeb59545f9380b

Aliases

arxiv: hep-th/0504166 · arxiv_version: hep-th/0504166v1 · doi: 10.48550/arxiv.hep-th/0504166 · pith_short_12: QTYFR2ZRPFMB · pith_short_16: QTYFR2ZRPFMBASYW · pith_short_8: QTYFR2ZR

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/QTYFR2ZRPFMBASYWGJTY6AM6JK \
  | 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: 84f058eb317958104b1632678f019e4ab9c42920a63fa05196eeb59545f9380b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ad26cad2fdf19c9a782390a4ead67c0bef75aabc10803ad8379c961a0e7426d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-04-20T11:29:11Z",
    "title_canon_sha256": "af53205d663f6a8f97e1c72257e0cd666639a9471c94aff34957be38f7e22d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0504166",
    "kind": "arxiv",
    "version": 1
  }
}