Pith Number

pith:FKU5ONLW

pith:2017:FKU5ONLW5YCTWRWCLOZTSV3BKQ

not attested not anchored not stored refs pending

On the trace problem for Triebel--Lizorkin spaces with mixed norms

Jon Johnsen, Winfried Sickel

arxiv:1702.00712 v1 · 2017-02-02 · 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{FKU5ONLW5YCTWRWCLOZTSV3BKQ}

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	2026-05-18T00:51:31.059652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aa9d73576ee053b46c25bb33957615422b91bb6cf4afa210d1678c02d6d61fc

Aliases

arxiv: 1702.00712 · arxiv_version: 1702.00712v1 · doi: 10.48550/arxiv.1702.00712 · pith_short_12: FKU5ONLW5YCT · pith_short_16: FKU5ONLW5YCTWRWC · pith_short_8: FKU5ONLW

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/FKU5ONLW5YCTWRWCLOZTSV3BKQ \
  | 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: 2aa9d73576ee053b46c25bb33957615422b91bb6cf4afa210d1678c02d6d61fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca8a6df4772edb0df0e1e6b0e839c3e14ad0226c64cec8ece666e4124da5f5fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-02T15:26:23Z",
    "title_canon_sha256": "9009960f30edccade25ed358f674a7d6eda0386a29a8e347362e5f3b08c548b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00712",
    "kind": "arxiv",
    "version": 1
  }
}