Pith Number

pith:QOIU6DS6

pith:2021:QOIU6DS6YL6OGFNYWXTNIT55SJ

not attested not anchored not stored refs pending

Biquaternion Z Transform

Kit Ian Kou, Wenshan Bi, Zhen-Feng Cai

arxiv:2108.02975 v1 · 2021-08-06 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOIU6DS6YL6OGFNYWXTNIT55SJ}

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	2026-07-05T03:03:44.452147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83914f0e5ec2fce315b8b5e6d44fbd927ee4a6f7872c6067bca1517963139c13

Aliases

arxiv: 2108.02975 · arxiv_version: 2108.02975v1 · doi: 10.48550/arxiv.2108.02975 · pith_short_12: QOIU6DS6YL6O · pith_short_16: QOIU6DS6YL6OGFNY · pith_short_8: QOIU6DS6

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/QOIU6DS6YL6OGFNYWXTNIT55SJ \
  | 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: 83914f0e5ec2fce315b8b5e6d44fbd927ee4a6f7872c6067bca1517963139c13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5b9b0436bfcac421518a98cd0d72480bb604c52fca84865c3a1e5783188d5df",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-08-06T07:00:34Z",
    "title_canon_sha256": "6ba6eeb4d5ceec6459694569bfa6b44ade1c6d86827b1415fd5ef0e7ec6e87df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.02975",
    "kind": "arxiv",
    "version": 1
  }
}