Pith Number

pith:CTGMHYUE

pith:2015:CTGMHYUEOUGKUDZOFMFT7PN7VO

not attested not anchored not stored refs pending

Multilinear Fourier Multipliers with Minimal Sobolev Regularity, I

Hanh Van Nguyen, Loukas Grafakos

arxiv:1504.06915 v1 · 2015-04-27 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTGMHYUEOUGKUDZOFMFT7PN7VO}

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	2026-05-18T02:17:44.108988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14ccc3e284750caa0f2e2b0b3fbdbfab9928365f0751052f708c2a6a864f4dad

Aliases

arxiv: 1504.06915 · arxiv_version: 1504.06915v1 · doi: 10.48550/arxiv.1504.06915 · pith_short_12: CTGMHYUEOUGK · pith_short_16: CTGMHYUEOUGKUDZO · pith_short_8: CTGMHYUE

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/CTGMHYUEOUGKUDZOFMFT7PN7VO \
  | 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: 14ccc3e284750caa0f2e2b0b3fbdbfab9928365f0751052f708c2a6a864f4dad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e51417a5d67eacf4a71e96e0a8b0032a49f0b6b85ac820bb59b5735b7af868d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-27T03:13:03Z",
    "title_canon_sha256": "6b4be9f98e67a843ff4ad4328b646fabb6f6f8e671ccce71e0ded58fb9bbf316"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06915",
    "kind": "arxiv",
    "version": 1
  }
}