Pith Number

pith:COCLT4SY

pith:2011:COCLT4SY6VMHMPFGX67ETHLG6R

not attested not anchored not stored refs pending

New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets

Dachun Yang, Tino Ullrich, Wen Yuan, Yiyu Liang, Yoshihiro Sawano

arxiv:1103.5667 v2 · 2011-03-29 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{COCLT4SY6VMHMPFGX67ETHLG6R}

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	2026-05-18T03:52:26.485116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1384b9f258f558763ca6bfbe499d66f46fe74b4c79fefd9fbf9df951016bfa5a

Aliases

arxiv: 1103.5667 · arxiv_version: 1103.5667v2 · doi: 10.48550/arxiv.1103.5667 · pith_short_12: COCLT4SY6VMH · pith_short_16: COCLT4SY6VMHMPFG · pith_short_8: COCLT4SY

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/COCLT4SY6VMHMPFGX67ETHLG6R \
  | 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: 1384b9f258f558763ca6bfbe499d66f46fe74b4c79fefd9fbf9df951016bfa5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6e9e9ae69a9d5607ee2d77dc66df69533b2da8c06c5d709ca1d102945bacf78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-29T14:48:54Z",
    "title_canon_sha256": "9b48a875c6c954cbf2b9e25b9ad9e16e4659d8dd8f0fc32c4d1721008ac2cb0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5667",
    "kind": "arxiv",
    "version": 2
  }
}