Pith Number

pith:YDIWWFXU

pith:2010:YDIWWFXU3LFB4UIAS72HY6VUMD

not attested not anchored not stored refs pending

A geometric construction of tight Gabor frames with multivariate compactly supported smooth windows

G\"otz E. Pfander, Peter Rashkov, Yang Wang

arxiv:1010.6160 v1 · 2010-10-29 · math.FA · 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{YDIWWFXU3LFB4UIAS72HY6VUMD}

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	2026-05-18T04:38:07.380128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0d16b16f4daca1e510097f47c7ab460de55309f1169964684392654bab4cbce

Aliases

arxiv: 1010.6160 · arxiv_version: 1010.6160v1 · doi: 10.48550/arxiv.1010.6160 · pith_short_12: YDIWWFXU3LFB · pith_short_16: YDIWWFXU3LFB4UIA · pith_short_8: YDIWWFXU

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/YDIWWFXU3LFB4UIAS72HY6VUMD \
  | 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: c0d16b16f4daca1e510097f47c7ab460de55309f1169964684392654bab4cbce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38e204b58c1b044c47cbba5e51a021beee39975904bbdaedaffdecb90934e63c",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-10-29T09:24:53Z",
    "title_canon_sha256": "b82af209a4cda83b8239577a42168531e7d0ebd9d01ca2ad540c2624429d6c64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6160",
    "kind": "arxiv",
    "version": 1
  }
}