Pith Number

pith:LK546IKH

pith:2025:LK546IKHYGWJSQ747PXJPDZY35

not attested not anchored not stored refs pending

Trainable Joint Time-Vertex Fractional Fourier Transform

Zhichao Zhang, Ziqi Yan

arxiv:2507.21527 v1 · 2025-07-29 · eess.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LK546IKHYGWJSQ747PXJPDZY35}

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	2026-07-05T11:45:01.760311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5abbcf2147c1ac9943fcfbee978f38df67a1a26ca1563e25b519a6ab8df408ef

Aliases

arxiv: 2507.21527 · arxiv_version: 2507.21527v1 · doi: 10.48550/arxiv.2507.21527 · pith_short_12: LK546IKHYGWJ · pith_short_16: LK546IKHYGWJSQ74 · pith_short_8: LK546IKH

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/LK546IKHYGWJSQ747PXJPDZY35 \
  | 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: 5abbcf2147c1ac9943fcfbee978f38df67a1a26ca1563e25b519a6ab8df408ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cceee147a4c5e43e1050efd720fa720cf41cf3ec5ffe5ad03964e2eea03a5685",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2025-07-29T06:29:07Z",
    "title_canon_sha256": "21d62db8baaef24c28814bb6bf3c5c94ff2c2ffee76a39a09afba7ac6e4b008a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21527",
    "kind": "arxiv",
    "version": 1
  }
}