Pith Number

pith:BDBA3RFH

pith:2026:BDBA3RFHSIUIJGKKW3A7CEH4LU

not attested not anchored not stored refs pending

Generalized Hilbert operators on Hardy spaces

Pengcheng Tang, Yuting Guo

arxiv:2607.28221 v1 · 2026-07-30 · 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{BDBA3RFHSIUIJGKKW3A7CEH4LU}

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	2026-07-31T01:36:33.385268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

08c20dc4a7922884994ab6c1f110fc5d0a6f97e905a7010cea2c4b5b1b2ea67c

Aliases

arxiv: 2607.28221 · arxiv_version: 2607.28221v1 · doi: 10.48550/arxiv.2607.28221 · pith_short_12: BDBA3RFHSIUI · pith_short_16: BDBA3RFHSIUIJGKK · pith_short_8: BDBA3RFH

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/BDBA3RFHSIUIJGKKW3A7CEH4LU \
  | 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: 08c20dc4a7922884994ab6c1f110fc5d0a6f97e905a7010cea2c4b5b1b2ea67c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a43d106b8cdc86191d4938610a6678b78d2779d119e887d5edc511fc94953fac",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-07-30T13:56:39Z",
    "title_canon_sha256": "6f78661578e5d237e1750b4db5c003539b4358deb1e1247342262199dd145092"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28221",
    "kind": "arxiv",
    "version": 1
  }
}