Pith Number

pith:YAFF5IPJ

pith:2011:YAFF5IPJPVQ77AB74NOPNKCPFO

not attested not anchored not stored refs pending

Wavelet transform and Radon transform on the Quaternion Heisenberg group

Heping Liu, JIanxun He

arxiv:1110.3570 v1 · 2011-10-17 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YAFF5IPJPVQ77AB74NOPNKCPFO}

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	2026-05-18T04:10:48.928332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c00a5ea1e97d61ff803fe35cf6a84f2ba9ae025fa5d6d96f92cb2dfa9d4eb649

Aliases

arxiv: 1110.3570 · arxiv_version: 1110.3570v1 · doi: 10.48550/arxiv.1110.3570 · pith_short_12: YAFF5IPJPVQ7 · pith_short_16: YAFF5IPJPVQ77AB7 · pith_short_8: YAFF5IPJ

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/YAFF5IPJPVQ77AB74NOPNKCPFO \
  | 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: c00a5ea1e97d61ff803fe35cf6a84f2ba9ae025fa5d6d96f92cb2dfa9d4eb649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b87dfc209ffde8f13afdd693447ddb962f1c700ae0bf225688f065cb234b35f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-10-17T03:41:11Z",
    "title_canon_sha256": "5eee0da56bd5e9451ed0ef5577cf10cd1d427ea89587689d15b0221562ad9c27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3570",
    "kind": "arxiv",
    "version": 1
  }
}