Pith Number

pith:TRDXUFOS

pith:2010:TRDXUFOSFWHEDBEFNXEYK45ROI

not attested not anchored not stored refs pending

Uncertainty Principles and Balian-Low type Theorems in Principal Shift-Invariant Spaces

Akram Aldroubi, Haichao Wang, Qiyu Sun

arxiv:1008.4296 v1 · 2010-08-25 · math.FA · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRDXUFOSFWHEDBEFNXEYK45ROI}

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	2026-05-18T04:18:45.014896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c477a15d22d8e4184856dc98573b1723646681f30c3dc23dac77af1f1a73f0f

Aliases

arxiv: 1008.4296 · arxiv_version: 1008.4296v1 · doi: 10.48550/arxiv.1008.4296 · pith_short_12: TRDXUFOSFWHE · pith_short_16: TRDXUFOSFWHEDBEF · pith_short_8: TRDXUFOS

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/TRDXUFOSFWHEDBEFNXEYK45ROI \
  | 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: 9c477a15d22d8e4184856dc98573b1723646681f30c3dc23dac77af1f1a73f0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d02c32b513246c351400c8004a05b518747fca0340ee09a73fa723732dabd0a",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-08-25T14:52:07Z",
    "title_canon_sha256": "9a8f2e85ce2253f33024378dcfcbbb4970e2c98f1e84a1dbe8a55f9d8202ee0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4296",
    "kind": "arxiv",
    "version": 1
  }
}