Pith Number

pith:TQZDTUU5

pith:2022:TQZDTUU5RRB65SJI4VHXGT2NPN

not attested not anchored not stored refs pending

Graph Fourier transforms on directed product graphs

Cheng cheng, Jeon Yu Lee, Qiyu Sun, Yang Chen

arxiv:2209.01336 v2 · 2022-09-03 · cs.IT · eess.SP · 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{TQZDTUU5RRB65SJI4VHXGT2NPN}

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	2026-07-05T04:55:18.711637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c3239d29d8c43eec928e54f734f4d7b7bb7ff9b7b7f49a19b18e4041a4f27ea

Aliases

arxiv: 2209.01336 · arxiv_version: 2209.01336v2 · doi: 10.48550/arxiv.2209.01336 · pith_short_12: TQZDTUU5RRB6 · pith_short_16: TQZDTUU5RRB65SJI · pith_short_8: TQZDTUU5

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/TQZDTUU5RRB65SJI4VHXGT2NPN \
  | 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: 9c3239d29d8c43eec928e54f734f4d7b7bb7ff9b7b7f49a19b18e4041a4f27ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5733d92ab6d2ae6c6908cce8fc0fe9b67ac39b2a4406bc8042b75f8f280aabb",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2022-09-03T06:04:59Z",
    "title_canon_sha256": "5b622b584ca4b5c751692664edf8a7260402aeec9eb951782581dbc74d4c12f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.01336",
    "kind": "arxiv",
    "version": 2
  }
}