Pith Number

pith:7Z4I7UH5

pith:2012:7Z4I7UH5LCXDD7SMSJ3CBQ2QJ3

not attested not anchored not stored refs pending

Weighted estimates for multilinear Fourier multipliers

Kangwei Li, Wenchang Sun

arxiv:1207.5111 v2 · 2012-07-21 · 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{7Z4I7UH5LCXDD7SMSJ3CBQ2QJ3}

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	2026-05-18T00:39:16.305718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe788fd0fd58ae31fe4c927620c3504ecc3aafd97c48d360e3ea96f3f524e6f3

Aliases

arxiv: 1207.5111 · arxiv_version: 1207.5111v2 · doi: 10.48550/arxiv.1207.5111 · pith_short_12: 7Z4I7UH5LCXD · pith_short_16: 7Z4I7UH5LCXDD7SM · pith_short_8: 7Z4I7UH5

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/7Z4I7UH5LCXDD7SMSJ3CBQ2QJ3 \
  | 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: fe788fd0fd58ae31fe4c927620c3504ecc3aafd97c48d360e3ea96f3f524e6f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb5a134684976dd335a7ff4274dedb9acf22c99639bbc88e3c0c088938f9bd58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-21T08:44:07Z",
    "title_canon_sha256": "c6342f1ce163eb20569021bd7d67e8ef45ca9a817bc60ac0a3697b28884dc8b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5111",
    "kind": "arxiv",
    "version": 2
  }
}