Pith Number

pith:EE33CTHM

pith:2007:EE33CTHMAXRU7X4LIIIBUFLSXS

not attested not anchored not stored refs pending

Uncertainty Relation for the Discrete Fourier Transform

Philippe Spindel, Serge Massar

arxiv:0710.0723 v2 · 2007-10-03 · 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{EE33CTHMAXRU7X4LIIIBUFLSXS}

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	2026-05-18T04:20:51.461022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2137b14cec05e34fdf8b42101a1572bca4a48ade746a8e74fa43c7a801d13cea

Aliases

arxiv: 0710.0723 · arxiv_version: 0710.0723v2 · doi: 10.48550/arxiv.0710.0723 · pith_short_12: EE33CTHMAXRU · pith_short_16: EE33CTHMAXRU7X4L · pith_short_8: EE33CTHM

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/EE33CTHMAXRU7X4LIIIBUFLSXS \
  | 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: 2137b14cec05e34fdf8b42101a1572bca4a48ade746a8e74fa43c7a801d13cea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "171b901a0f5dd44a8a32537c1b131bf0c70cafc8817b786db810759b5fd2dc6e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-10-03T07:50:57Z",
    "title_canon_sha256": "2f548e6ca09adaa80ce28cc075295a26fa7094cb54db289e70f9698cb915402a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0723",
    "kind": "arxiv",
    "version": 2
  }
}