Pith Number

pith:GZ56HWH6

pith:2010:GZ56HWH6B45WGFD4DL6M4EA3RK

not attested not anchored not stored refs pending

Matrix Extension with Symmetry and Its Application to Filter Banks

Bin Han, Xiaosheng Zhuang

arxiv:1001.1117 v1 · 2010-01-07 · cs.IT · cs.NA · math.IT · math.NA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZ56HWH6B45WGFD4DL6M4EA3RK}

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	2026-07-04T17:19:03.850378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

367be3d8fe0f3b63147c1afcce101b8aa85610d2086e69c5bc73047d9a9c9afc

Aliases

arxiv: 1001.1117 · arxiv_version: 1001.1117v1 · doi: 10.48550/arxiv.1001.1117 · pith_short_12: GZ56HWH6B45W · pith_short_16: GZ56HWH6B45WGFD4 · pith_short_8: GZ56HWH6

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/GZ56HWH6B45WGFD4DL6M4EA3RK \
  | 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: 367be3d8fe0f3b63147c1afcce101b8aa85610d2086e69c5bc73047d9a9c9afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8100b81d3d99fb4a269fee0be690db7416f16f981223d68f134831dc50b338e6",
    "cross_cats_sorted": [
      "cs.NA",
      "math.IT",
      "math.NA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-01-07T17:27:46Z",
    "title_canon_sha256": "5698e5525e834b2ec6efce1f4bd49cc25861c9ab51a96519bd58d644b198c980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1117",
    "kind": "arxiv",
    "version": 1
  }
}