Pith Number

pith:QIRSUOYC

pith:2013:QIRSUOYCDBZPSC525S2FIDMY4Z

not attested not anchored not stored refs pending

Fractional maximal functions in metric measure spaces

Heli Tuominen, Juha Lehrb\"ack, Juho Nuutinen, Toni Heikkinen

arxiv:1301.7191 v2 · 2013-01-30 · 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{QIRSUOYCDBZPSC525S2FIDMY4Z}

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	2026-05-18T03:21:21.509961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82232a3b021872f90bbaecb4540d98e646e31fe6dfbfab69e1035f293f085fe5

Aliases

arxiv: 1301.7191 · arxiv_version: 1301.7191v2 · doi: 10.48550/arxiv.1301.7191 · pith_short_12: QIRSUOYCDBZP · pith_short_16: QIRSUOYCDBZPSC52 · pith_short_8: QIRSUOYC

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/QIRSUOYCDBZPSC525S2FIDMY4Z \
  | 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: 82232a3b021872f90bbaecb4540d98e646e31fe6dfbfab69e1035f293f085fe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae95c1566a0cfa4394137da9b3d25a6e9176f251908cc6d25abc6be769ea576d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-30T10:44:54Z",
    "title_canon_sha256": "62f1134fcb79e6d95d78e82f38e1e9a5678e1dae5253a2fdb9285f265e80a95b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7191",
    "kind": "arxiv",
    "version": 2
  }
}