Pith Number

pith:AEW6ST3Y

pith:2017:AEW6ST3YW2PIXAPNMY6FGTIHIK

not attested not anchored not stored refs pending

Domains of type 1,1 operators: a case for Triebel--Lizorkin spaces

Jon Johnsen

arxiv:1702.02033 v1 · 2017-02-07 · 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{AEW6ST3YW2PIXAPNMY6FGTIHIK}

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	2026-05-18T00:51:10.535483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

012de94f78b69e8b81ed663c534d0742899c6d88bdd3a04a6f119f927ffd6e2b

Aliases

arxiv: 1702.02033 · arxiv_version: 1702.02033v1 · doi: 10.48550/arxiv.1702.02033 · pith_short_12: AEW6ST3YW2PI · pith_short_16: AEW6ST3YW2PIXAPN · pith_short_8: AEW6ST3Y

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/AEW6ST3YW2PIXAPNMY6FGTIHIK \
  | 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: 012de94f78b69e8b81ed663c534d0742899c6d88bdd3a04a6f119f927ffd6e2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c8f40780a4c92fd91d2e7d98d158672535b3713d0b30fa4134ca773ad5f9abf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-07T14:24:20Z",
    "title_canon_sha256": "367727718e0e412b17e52fefb054cf1145e2940e3b243bfd48f868bb996266d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02033",
    "kind": "arxiv",
    "version": 1
  }
}