Pith Number

pith:MKUR23J3

pith:2011:MKUR23J3UVCEM747ZBU2ZZ5JMJ

not attested not anchored not stored refs pending

Sharp weighted bounds involving A_\infty

Carlos P\'erez, Tuomas Hyt\"onen

arxiv:1103.5562 v1 · 2011-03-29 · 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{MKUR23J3UVCEM747ZBU2ZZ5JMJ}

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	2026-05-18T04:25:37.323780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62a91d6d3ba544467f9fc869ace7a96275161cb070290ebb06ef5a65bd422a68

Aliases

arxiv: 1103.5562 · arxiv_version: 1103.5562v1 · doi: 10.48550/arxiv.1103.5562 · pith_short_12: MKUR23J3UVCE · pith_short_16: MKUR23J3UVCEM747 · pith_short_8: MKUR23J3

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/MKUR23J3UVCEM747ZBU2ZZ5JMJ \
  | 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: 62a91d6d3ba544467f9fc869ace7a96275161cb070290ebb06ef5a65bd422a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ca8346dc58aff12f43ae692161291ca1459d922829942b929d2c99075b2b9ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-03-29T08:23:55Z",
    "title_canon_sha256": "9bd1a54b0632e0f9ed593f2193fd52519edb7685e9d80ff5ff37f026074ce6e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5562",
    "kind": "arxiv",
    "version": 1
  }
}