Pith Number

pith:NANSM2TZ

pith:2013:NANSM2TZRMMC5U5J5JG2LZXKDP

not attested not anchored not stored refs pending

Extremizers and sharp weak-type estimates for positive dyadic shifts

Alexander Reznikov, Guillermo Rey

arxiv:1311.2046 v2 · 2013-11-08 · 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{NANSM2TZRMMC5U5J5JG2LZXKDP}

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	2026-05-18T00:01:39.532923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

681b266a798b182ed3a9ea4da5e6ea1bd3b26d3195925b98a61b88c7eecbb222

Aliases

arxiv: 1311.2046 · arxiv_version: 1311.2046v2 · doi: 10.48550/arxiv.1311.2046 · pith_short_12: NANSM2TZRMMC · pith_short_16: NANSM2TZRMMC5U5J · pith_short_8: NANSM2TZ

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/NANSM2TZRMMC5U5J5JG2LZXKDP \
  | 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: 681b266a798b182ed3a9ea4da5e6ea1bd3b26d3195925b98a61b88c7eecbb222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5f8dd0a15ef2b6ce8cb677613043b314cd5470584a16eaf05dcfcd919cb1488",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-11-08T19:44:49Z",
    "title_canon_sha256": "284d8e0d6db76e31f05fcba7b0df724371742cb63a13eaee7b30f7006530dbe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2046",
    "kind": "arxiv",
    "version": 2
  }
}