Pith Number

pith:JXSOAGBW

pith:2010:JXSOAGBWPRNFF7R3ZHIQF5PA47

not attested not anchored not stored refs pending

The quantum state vector in phase space and Gabor's windowed Fourier transform

A.J. Bracken, P. Watson

arxiv:1006.0370 v2 · 2010-05-26 · quant-ph · 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{JXSOAGBWPRNFF7R3ZHIQF5PA47}

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	2026-05-18T02:07:05.558430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4de4e018367c5a52fe3bc9d102f5e0e7d024c6d7a27fa678b8b01f450ab3783d

Aliases

arxiv: 1006.0370 · arxiv_version: 1006.0370v2 · doi: 10.48550/arxiv.1006.0370 · pith_short_12: JXSOAGBWPRNF · pith_short_16: JXSOAGBWPRNFF7R3 · pith_short_8: JXSOAGBW

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/JXSOAGBWPRNFF7R3ZHIQF5PA47 \
  | 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: 4de4e018367c5a52fe3bc9d102f5e0e7d024c6d7a27fa678b8b01f450ab3783d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32549dd450a7c8e34e5cb500a66f17eb833b14b865270ead7b6ac8c4f12570f3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-05-26T23:04:31Z",
    "title_canon_sha256": "48b8eea016a39e58de0c1058bc76169b2a107503110d3f86c9625a5ee7ce911b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0370",
    "kind": "arxiv",
    "version": 2
  }
}