Pith Number

pith:HFMYNFX5

pith:2023:HFMYNFX5RMIDU6HFOCLZARVSUL

not attested not anchored not stored refs pending

A Representation of Matrix-Valued Harmonic Functions by the Poisson Integral of Non-commutative BMO Functions

Cheng Chen, Guixiang Hong, Wenhua Wang

arxiv:2309.11752 v2 · 2023-09-21 · math.CA · 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{HFMYNFX5RMIDU6HFOCLZARVSUL}

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	2026-07-05T08:59:59.576978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39598696fd8b103a78e570979046b2a2fdc51d8f221b80ca2163e5d3c670aa3c

Aliases

arxiv: 2309.11752 · arxiv_version: 2309.11752v2 · doi: 10.48550/arxiv.2309.11752 · pith_short_12: HFMYNFX5RMID · pith_short_16: HFMYNFX5RMIDU6HF · pith_short_8: HFMYNFX5

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/HFMYNFX5RMIDU6HFOCLZARVSUL \
  | 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: 39598696fd8b103a78e570979046b2a2fdc51d8f221b80ca2163e5d3c670aa3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53b3ede0e33aca247582463a9f99bb45173a835d891e3f0caaf7c59e10b07018",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2023-09-21T03:25:11Z",
    "title_canon_sha256": "ce243dd7cce4c36a0b572ca44ec4cccca9b13a4e015c82ee0d53b103548cbf5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.11752",
    "kind": "arxiv",
    "version": 2
  }
}