Pith Number

pith:23QBOIYI

pith:1996:23QBOIYIUW6XFUVYOAZZYG7GPK

not attested not anchored not stored refs pending

Hardy classes, integral operators, and duality on spaces of homogeneous type

Song-Ying Li, Steven G. Krantz

arxiv:math/9601210 v1 · 1996-01-22 · math.FA · 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{23QBOIYIUW6XFUVYOAZZYG7GPK}

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	2026-05-18T01:05:47.898243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6e0172308a5bd72d2b870339c1be67abfabc0fc1f5862c05587835ee5ac8361

Aliases

arxiv: math/9601210 · arxiv_version: math/9601210v1 · doi: 10.48550/arxiv.math/9601210 · pith_short_12: 23QBOIYIUW6X · pith_short_16: 23QBOIYIUW6XFUVY · pith_short_8: 23QBOIYI

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/23QBOIYIUW6XFUVYOAZZYG7GPK \
  | 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: d6e0172308a5bd72d2b870339c1be67abfabc0fc1f5862c05587835ee5ac8361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57274847e9e2f4d4798cd6aa3e98e8d8ce35882f3954676c56498a194a3af727",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1996-01-22T00:00:00Z",
    "title_canon_sha256": "3d4902470896342d363960954e5b7ee4a81fca196d92cfb2e3330f472b6fd89e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9601210",
    "kind": "arxiv",
    "version": 1
  }
}