Pith Number

pith:QAUNDDX2

pith:2015:QAUNDDX2LWRWKORLTBJLG2PLAI

not attested not anchored not stored refs pending

Norms supporting the Lebesgue differentiation theorem

Andrea Cianchi, Lenka Slav\'ikov\'a, Lubo\v{s} Pick, Paola Cavaliere

arxiv:1512.03202 v1 · 2015-12-10 · 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{QAUNDDX2LWRWKORLTBJLG2PLAI}

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	2026-05-18T00:51:28.469403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8028d18efa5da3653a2b9852b369eb023147e221b5fc0a900b082f7cdf098b20

Aliases

arxiv: 1512.03202 · arxiv_version: 1512.03202v1 · doi: 10.48550/arxiv.1512.03202 · pith_short_12: QAUNDDX2LWRW · pith_short_16: QAUNDDX2LWRWKORL · pith_short_8: QAUNDDX2

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/QAUNDDX2LWRWKORLTBJLG2PLAI \
  | 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: 8028d18efa5da3653a2b9852b369eb023147e221b5fc0a900b082f7cdf098b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfc0fc8138cda5e9db34330786952afa72740814a6c70b4bb668a87013cb10ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-10T10:32:01Z",
    "title_canon_sha256": "fe723bc407dd87b5b6a38f4c3c147c6b4182715a4b0e3fe970e230ecda2e7e4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03202",
    "kind": "arxiv",
    "version": 1
  }
}