Pith Number

pith:GURHDXA6

pith:2018:GURHDXA6NO74RYOT3YJ7DGCDC7

not attested not anchored not stored refs pending

Zeros of the Wigner Distribution and the Short-Time Fourier Transform

Eugenia Malinnikova, Karlheinz Gr\"ochenig, Philippe Jaming (IMB)

arxiv:1811.03937 v1 · 2018-11-09 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GURHDXA6NO74RYOT3YJ7DGCDC7}

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	2026-05-18T00:01:11.512643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

352271dc1e6bbfc8e1d3de13f1984317e3064bc1fb8793f6878112244a66d7ca

Aliases

arxiv: 1811.03937 · arxiv_version: 1811.03937v1 · doi: 10.48550/arxiv.1811.03937 · pith_short_12: GURHDXA6NO74 · pith_short_16: GURHDXA6NO74RYOT · pith_short_8: GURHDXA6

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/GURHDXA6NO74RYOT3YJ7DGCDC7 \
  | 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: 352271dc1e6bbfc8e1d3de13f1984317e3064bc1fb8793f6878112244a66d7ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b88985488ae8378c3cace3dc91eea387b0437028ae52f04746ddfc38e661c1b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-11-09T14:57:28Z",
    "title_canon_sha256": "72a5aab531bea311792b5a75cdcd6591800327d7d24cf46545491615e65c3eee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03937",
    "kind": "arxiv",
    "version": 1
  }
}