Pith Number

pith:VSOAMPLR

pith:2014:VSOAMPLRNYJ6S2H4ODQ5OVIHQE

not attested not anchored not stored refs pending

Multilinear Fourier multipliers on variable Lebesgue spaces

Jineng Ren, Wenchang Sun

arxiv:1407.2141 v1 · 2014-07-08 · 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{VSOAMPLRNYJ6S2H4ODQ5OVIHQE}

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	2026-05-18T02:48:08.322555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac9c063d716e13e968fc70e1d75507812e69e8fddbded9f672b87aa67d6229c1

Aliases

arxiv: 1407.2141 · arxiv_version: 1407.2141v1 · doi: 10.48550/arxiv.1407.2141 · pith_short_12: VSOAMPLRNYJ6 · pith_short_16: VSOAMPLRNYJ6S2H4 · pith_short_8: VSOAMPLR

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/VSOAMPLRNYJ6S2H4ODQ5OVIHQE \
  | 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: ac9c063d716e13e968fc70e1d75507812e69e8fddbded9f672b87aa67d6229c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80383140e0d8c76d80054f56b2b5821b3dbbf06740eb5cb96fbca96b6a56c1da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-07-08T15:53:19Z",
    "title_canon_sha256": "3adac074ca1cb9467657227be24648d1168b8a1d7416aa1cf4eed242a1e7aff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2141",
    "kind": "arxiv",
    "version": 1
  }
}