Pith Number

pith:Q3D5Y3ZD

pith:2017:Q3D5Y3ZDU6TS35KQW6ZAKERFTB

not attested not anchored not stored refs pending

Domains of pseudo-differential operators: a case for the Triebel--Lizorkin spaces

Jon Johnsen

arxiv:1702.01070 v1 · 2017-02-03 · 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{Q3D5Y3ZDU6TS35KQW6ZAKERFTB}

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	2026-05-18T00:51:29.053710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86c7dc6f23a7a72df550b7b2051225987cdc9ca6624ba20b355012dd36012522

Aliases

arxiv: 1702.01070 · arxiv_version: 1702.01070v1 · doi: 10.48550/arxiv.1702.01070 · pith_short_12: Q3D5Y3ZDU6TS · pith_short_16: Q3D5Y3ZDU6TS35KQ · pith_short_8: Q3D5Y3ZD

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/Q3D5Y3ZDU6TS35KQW6ZAKERFTB \
  | 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: 86c7dc6f23a7a72df550b7b2051225987cdc9ca6624ba20b355012dd36012522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbdaf400d55d9d091b8543ed10b4cebcff47d3ecdedb4d71cd1d8c2d7a131191",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-03T16:18:15Z",
    "title_canon_sha256": "d1a1873869f563c8ca8e835c99dffe1d8224c10287c863cff4be748a31e8d623"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01070",
    "kind": "arxiv",
    "version": 1
  }
}