Pith Number

pith:R2N5BOK5

pith:2013:R2N5BOK5YCZWVZT3BEWEV74V2N

not attested not anchored not stored refs pending

Localization and dimension free estimates for maximal functions

Alberto Criado, Fernando Soria

arxiv:1304.3392 v1 · 2013-04-11 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R2N5BOK5YCZWVZT3BEWEV74V2N}

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	2026-05-18T03:28:17.880084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e9bd0b95dc0b36ae67b092c4aff95d379dae7f6f39fa9efcaa096712600001b

Aliases

arxiv: 1304.3392 · arxiv_version: 1304.3392v1 · doi: 10.48550/arxiv.1304.3392 · pith_short_12: R2N5BOK5YCZW · pith_short_16: R2N5BOK5YCZWVZT3 · pith_short_8: R2N5BOK5

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/R2N5BOK5YCZWVZT3BEWEV74V2N \
  | 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: 8e9bd0b95dc0b36ae67b092c4aff95d379dae7f6f39fa9efcaa096712600001b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "376e9851f00f351d3cf4e54115e07d6844bc955707dc147adf546399433d9b3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-11T18:41:50Z",
    "title_canon_sha256": "8837026bbd4007f2df0983c2ac01ad8102fbd40878bcef5004e6eb9e1d3fd306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3392",
    "kind": "arxiv",
    "version": 1
  }
}