Pith Number

pith:KLYEDYF4

pith:2016:KLYEDYF4LFMWS3TOCFAOT7YUSU

not attested not anchored not stored refs pending

From the discrete Weyl -- Wigner formalism for symmetric ordering to a number -- phase Wigner function

Jaromir Tosiek, Maciej Przanowski

arxiv:1609.03751 v1 · 2016-09-13 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLYEDYF4LFMWS3TOCFAOT7YUSU}

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	2026-05-18T00:30:08.778779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52f041e0bc5959696e6e1140e9ff1495255aaa56c9744396fd44dfe0df7a977a

Aliases

arxiv: 1609.03751 · arxiv_version: 1609.03751v1 · doi: 10.48550/arxiv.1609.03751 · pith_short_12: KLYEDYF4LFMW · pith_short_16: KLYEDYF4LFMWS3TO · pith_short_8: KLYEDYF4

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/KLYEDYF4LFMWS3TOCFAOT7YUSU \
  | 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: 52f041e0bc5959696e6e1140e9ff1495255aaa56c9744396fd44dfe0df7a977a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ea4b6f64cbbbf0f76f0824412583e090742f7f311b05bbf2f2a7bd03006e9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-13T10:12:34Z",
    "title_canon_sha256": "e7998008d8bcfcc33a6ca6d25425216ce4cc846dbfb56f1799b3a8b18b093554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03751",
    "kind": "arxiv",
    "version": 1
  }
}