Pith Number

pith:SE3YE3XD

pith:2016:SE3YE3XDXDLSXP4QGZIKELLYXJ

not attested not anchored not stored refs pending

A sparse domination principle for rough singular integrals

Amalia Culiuc, Francesco Di Plinio, Jose M. Conde-Alonso, Yumeng Ou

arxiv:1612.09201 v2 · 2016-12-29 · 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{SE3YE3XDXDLSXP4QGZIKELLYXJ}

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	2026-05-18T00:22:29.592533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9137826ee3b8d72bbf903650a22d78ba40f7131ae5d447aac253f25f50ac3da2

Aliases

arxiv: 1612.09201 · arxiv_version: 1612.09201v2 · doi: 10.48550/arxiv.1612.09201 · pith_short_12: SE3YE3XDXDLS · pith_short_16: SE3YE3XDXDLSXP4Q · pith_short_8: SE3YE3XD

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/SE3YE3XDXDLSXP4QGZIKELLYXJ \
  | 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: 9137826ee3b8d72bbf903650a22d78ba40f7131ae5d447aac253f25f50ac3da2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdff9e314c5ff51b911212bbf70af27b42dfc42fdf520b0862ff8dd3e5a8b4d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-29T17:03:06Z",
    "title_canon_sha256": "49213d9415313240fdf60e7fb05f1da8655d6653fa4945e72d0ca404f23006d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09201",
    "kind": "arxiv",
    "version": 2
  }
}