Pith Number

pith:VQLMCXZH

pith:2026:VQLMCXZHV74U2ADAWLMHCBVWXR

not attested not anchored not stored refs pending

Graph Fractional Fourier Transform: A Unified and Efficient Sampling Theory

Bing-Zhao Li, Jia-Yin Peng, Yu Zhang

arxiv:2605.26180 v1 · 2026-05-25 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQLMCXZHV74U2ADAWLMHCBVWXR}

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	2026-05-27T00:04:27.674428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac16c15f27aff94d0060b2d87106b6bc41d51d95ba0d786383400fb0ad626716

Aliases

arxiv: 2605.26180 · arxiv_version: 2605.26180v1 · doi: 10.48550/arxiv.2605.26180 · pith_short_12: VQLMCXZHV74U · pith_short_16: VQLMCXZHV74U2ADA · pith_short_8: VQLMCXZH

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/VQLMCXZHV74U2ADAWLMHCBVWXR \
  | 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: ac16c15f27aff94d0060b2d87106b6bc41d51d95ba0d786383400fb0ad626716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2c014ca08f9038f98e466948afba42bef4dfbe428380a9b0f6469cd9510c66e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2026-05-25T07:20:59Z",
    "title_canon_sha256": "eb8735913a49420d49afc6c75f57314343c2f088c123b3369f8334043a38d5a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26180",
    "kind": "arxiv",
    "version": 1
  }
}