Pith Number

pith:HGYAAUH4

pith:2011:HGYAAUH47LNXYRZPO2IWL4FMAE

not attested not anchored not stored refs pending

Non-uniform painless decompositions for anisotropic Besov and Triebel-Lizorkin spaces

Carlos Cabrelli, Jos\'e Luis Romero, Ursula Molter

arxiv:1108.2748 v2 · 2011-08-13 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HGYAAUH47LNXYRZPO2IWL4FMAE}

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	2026-05-18T02:18:01.897843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39b00050fcfadb7c472f769165f0ac012fcfd5f9fc28859ff7b74c66027d01c7

Aliases

arxiv: 1108.2748 · arxiv_version: 1108.2748v2 · doi: 10.48550/arxiv.1108.2748 · pith_short_12: HGYAAUH47LNX · pith_short_16: HGYAAUH47LNXYRZP · pith_short_8: HGYAAUH4

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/HGYAAUH47LNXYRZPO2IWL4FMAE \
  | 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: 39b00050fcfadb7c472f769165f0ac012fcfd5f9fc28859ff7b74c66027d01c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea2cd8bb76900a6e9fd1e13e2f528ce694f32cd5a60f0cec8f0f04403d2ce67",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-08-13T02:03:36Z",
    "title_canon_sha256": "818f794f994f2cfa4da31b641f61f46f91622b56014bdbad2da3641124a93347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2748",
    "kind": "arxiv",
    "version": 2
  }
}