Pith Number

pith:MTKIL5AY

pith:2013:MTKIL5AYPBZTBNTEQB7ARB3K5G

not attested not anchored not stored refs pending

Wavelet decomposition techniques and Hardy inequalities for function spaces on cellular domains

Benjamin Scharf

arxiv:1306.3131 v1 · 2013-06-13 · 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{MTKIL5AYPBZTBNTEQB7ARB3K5G}

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	2026-05-18T03:20:59.512689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64d485f418787330b664807e08876ae9ad8459a71aba1e6a9540e3a5b9224a4e

Aliases

arxiv: 1306.3131 · arxiv_version: 1306.3131v1 · doi: 10.48550/arxiv.1306.3131 · pith_short_12: MTKIL5AYPBZT · pith_short_16: MTKIL5AYPBZTBNTE · pith_short_8: MTKIL5AY

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/MTKIL5AYPBZTBNTEQB7ARB3K5G \
  | 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: 64d485f418787330b664807e08876ae9ad8459a71aba1e6a9540e3a5b9224a4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ddd2dad651e49bee9e20d2e50b68100fbf2b1912ff40657466f4a4c44e85075",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-13T15:02:15Z",
    "title_canon_sha256": "972b13f972c696441263e476bacd1c24fe88a327770cf71b0995491dde9581d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3131",
    "kind": "arxiv",
    "version": 1
  }
}