Pith Number

pith:HTGPK3QG

pith:2013:HTGPK3QG65G63CPT4GQU5KHFJB

not attested not anchored not stored refs pending

Carleson measures, Riemann-Stieltjes and multiplication operators on a general family of function spaces

Jordi Pau, Ruhan Zhao

arxiv:1307.4900 v1 · 2013-07-18 · 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{HTGPK3QG65G63CPT4GQU5KHFJB}

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	2026-05-18T03:18:07.279531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cccf56e06f74ded89f3e1a14ea8e54849e7b210bd51f3f2170a0a0e446e4e38

Aliases

arxiv: 1307.4900 · arxiv_version: 1307.4900v1 · doi: 10.48550/arxiv.1307.4900 · pith_short_12: HTGPK3QG65G6 · pith_short_16: HTGPK3QG65G63CPT · pith_short_8: HTGPK3QG

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/HTGPK3QG65G63CPT4GQU5KHFJB \
  | 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: 3cccf56e06f74ded89f3e1a14ea8e54849e7b210bd51f3f2170a0a0e446e4e38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "123bb87a6025db949bc8c0a1f046a0311c9384ef26d0d08d464c360b781b82bf",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-18T10:51:34Z",
    "title_canon_sha256": "47d75dfa73516f5901cc6c4f1d587236fbae9a5168cdb3c950a3cfb500c18927"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4900",
    "kind": "arxiv",
    "version": 1
  }
}