Pith Number

pith:S6X7CED7

pith:2016:S6X7CED7YVBYTHDOM6DC3WXONB

not attested not anchored not stored refs pending

$l^p$ decoupling for restricted $k$-broadness

Xiaochun Li, Xiumin Du

arxiv:1611.02781 v3 · 2016-11-09 · 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{S6X7CED7YVBYTHDOM6DC3WXONB}

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	2026-05-18T00:29:21.167186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97aff1107fc543899c6e67862ddaee687d8c1ad9f25fb2362191482ad6f931af

Aliases

arxiv: 1611.02781 · arxiv_version: 1611.02781v3 · doi: 10.48550/arxiv.1611.02781 · pith_short_12: S6X7CED7YVBY · pith_short_16: S6X7CED7YVBYTHDO · pith_short_8: S6X7CED7

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/S6X7CED7YVBYTHDOM6DC3WXONB \
  | 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: 97aff1107fc543899c6e67862ddaee687d8c1ad9f25fb2362191482ad6f931af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "789cbb07a0e59876780e67cffdff9f4dc0f562cba328a2f988a2861c0fbba85f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-11-09T00:21:04Z",
    "title_canon_sha256": "9b1fd5aa6f92b97584368149ea40a135da708182db29bf52cb377f521c14a779"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02781",
    "kind": "arxiv",
    "version": 3
  }
}