Pith Number

pith:4ATLEJ2A

pith:2013:4ATLEJ2ABYJ33V7EKMTK3UB2GZ

not attested not anchored not stored refs pending

Spectrum-Adapted Tight Graph Wavelet and Vertex-Frequency Frames

Christoph Wiesmeyr, David I Shuman, Nicki Holighaus, Pierre Vandergheynst

arxiv:1311.0897 v1 · 2013-11-04 · math.FA · cs.IT · cs.SI · 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{4ATLEJ2ABYJ33V7EKMTK3UB2GZ}

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	2026-05-18T03:07:56.161279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e026b227400e13bdd7e45326add03a3648070fc3d5b487fcf9543f071313968b

Aliases

arxiv: 1311.0897 · arxiv_version: 1311.0897v1 · doi: 10.48550/arxiv.1311.0897 · pith_short_12: 4ATLEJ2ABYJ3 · pith_short_16: 4ATLEJ2ABYJ33V7E · pith_short_8: 4ATLEJ2A

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/4ATLEJ2ABYJ33V7EKMTK3UB2GZ \
  | 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: e026b227400e13bdd7e45326add03a3648070fc3d5b487fcf9543f071313968b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87dd55fd3b03b7838a941912f925666555d3ce2d431aff09c2a66fdc1c5c4404",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.SI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-04T21:14:44Z",
    "title_canon_sha256": "00b7880ec947048fc78347c800c16ebb37ffcd76fd7197beca36a6a407d959bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0897",
    "kind": "arxiv",
    "version": 1
  }
}