Pith Number

pith:OHRRZTYU

pith:2019:OHRRZTYUSHE6JOXKEJRRMX6C2O

not attested not anchored not stored refs pending

The Haar System in Triebel-Lizorkin Spaces: Endpoint Results

Andreas Seeger, Gustavo Garrig\'os, Tino Ullrich

arxiv:1907.03738 v2 · 2019-07-08 · math.CA · cs.NA · math.FA · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHRRZTYUSHE6JOXKEJRRMX6C2O}

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	2026-07-05T00:29:39.110699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71e31ccf1491c9e4baea2263165fc2d384955745f20a59dfee515b7bb5d8e01c

Aliases

arxiv: 1907.03738 · arxiv_version: 1907.03738v2 · doi: 10.48550/arxiv.1907.03738 · pith_short_12: OHRRZTYUSHE6 · pith_short_16: OHRRZTYUSHE6JOXK · pith_short_8: OHRRZTYU

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/OHRRZTYUSHE6JOXKEJRRMX6C2O \
  | 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: 71e31ccf1491c9e4baea2263165fc2d384955745f20a59dfee515b7bb5d8e01c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b89d5e8fe56725161de7a5e9fa0e9883a27c5aea0e395e5ba3b76f67f9de90b6",
    "cross_cats_sorted": [
      "cs.NA",
      "math.FA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-08T17:48:30Z",
    "title_canon_sha256": "f5bb498b39f24394e93d26bf2a02b6005277b332fea26e1c7808a591b85b2477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03738",
    "kind": "arxiv",
    "version": 2
  }
}