Pith Number

pith:XXOF4AKA

pith:2017:XXOF4AKA4UUI5VBS2KKUTAW6T3

not attested not anchored not stored refs pending

A multilinear Fourier extension identity on $\mathbb{R}^n$

Jonathan Bennett, Marina Iliopoulou

arxiv:1701.06099 v3 · 2017-01-21 · 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{XXOF4AKA4UUI5VBS2KKUTAW6T3}

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	2026-05-18T00:42:07.183143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bddc5e0140e5288ed432d2954982de9ef6153199fa3178f6ead6887447a5d8e7

Aliases

arxiv: 1701.06099 · arxiv_version: 1701.06099v3 · doi: 10.48550/arxiv.1701.06099 · pith_short_12: XXOF4AKA4UUI · pith_short_16: XXOF4AKA4UUI5VBS · pith_short_8: XXOF4AKA

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/XXOF4AKA4UUI5VBS2KKUTAW6T3 \
  | 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: bddc5e0140e5288ed432d2954982de9ef6153199fa3178f6ead6887447a5d8e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39c96cb204247df4392cc61c61ab74c8db516cf1f4354caefd60f87e659e622a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-01-21T23:24:21Z",
    "title_canon_sha256": "b1c3503680775ff2d71e5c84d59e628e94b64f27e11dd770b1063d832d1f7dce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06099",
    "kind": "arxiv",
    "version": 3
  }
}