Pith Number

pith:VW3KI4RT

pith:2015:VW3KI4RTCDBSNPM5I4RQMQPSTQ

not attested not anchored not stored refs pending

Deforming the Window of a Gabor Frame: the Ellipsoid Method

Maurice A. de Gosson

arxiv:1512.03948 v1 · 2015-12-12 · math.FA · math-ph · math.MP · 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{VW3KI4RTCDBSNPM5I4RQMQPSTQ}

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	2026-05-18T01:24:23.509749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adb6a4723310c326bd9d47230641f29c3e8276b7c2b3a435179116abd4f0f886

Aliases

arxiv: 1512.03948 · arxiv_version: 1512.03948v1 · doi: 10.48550/arxiv.1512.03948 · pith_short_12: VW3KI4RTCDBS · pith_short_16: VW3KI4RTCDBSNPM5 · pith_short_8: VW3KI4RT

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/VW3KI4RTCDBSNPM5I4RQMQPSTQ \
  | 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: adb6a4723310c326bd9d47230641f29c3e8276b7c2b3a435179116abd4f0f886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6434524b39ab4064f896cf42d9775f36c7895142c401cd1fa6c791acfccda56d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-12T18:37:18Z",
    "title_canon_sha256": "e71633d676eaab8e660ea8485222534d4f8c573e0f648d04b5b96e9fa4920653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03948",
    "kind": "arxiv",
    "version": 1
  }
}