Pith Number

pith:US4T5CN3

pith:2017:US4T5CN3LNPKP5PZXOOGXOFSO3

not attested not anchored not stored refs pending

Harmonic analysis for the bi-free partial S-transform

Hao-Wei Huang, Jiun-Chau Wang

arxiv:1705.06569 v1 · 2017-04-28 · math.OA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{US4T5CN3LNPKP5PZXOOGXOFSO3}

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	2026-05-18T00:44:14.397345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4b93e89bb5b5ea7f5f9bb9c6bb8b276e781631e1641f43be64c783c8481e2b5

Aliases

arxiv: 1705.06569 · arxiv_version: 1705.06569v1 · doi: 10.48550/arxiv.1705.06569 · pith_short_12: US4T5CN3LNPK · pith_short_16: US4T5CN3LNPKP5PZ · pith_short_8: US4T5CN3

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/US4T5CN3LNPKP5PZXOOGXOFSO3 \
  | 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: a4b93e89bb5b5ea7f5f9bb9c6bb8b276e781631e1641f43be64c783c8481e2b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e932c3671b0cd94dfe75b74a2f707feba16527da5ceedb338cadb8db33629df",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-04-28T16:00:34Z",
    "title_canon_sha256": "d05e6c71c945916c6b5e982de5fae2d38d864fd259deede696ee5a764bcac28d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06569",
    "kind": "arxiv",
    "version": 1
  }
}