Pith Number

pith:CA42IJOW

pith:2012:CA42IJOWBRCHMFPWVPIDZCS626

not attested not anchored not stored refs pending

Wavelet frame bijectivity on Lebesgue and Hardy spaces

H.-Q. Bui, R. S. Laugesen

arxiv:1206.2390 v1 · 2012-06-11 · 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{CA42IJOWBRCHMFPWVPIDZCS626}

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	2026-05-18T03:53:44.508264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1039a425d60c447615f6abd03c8a5ed7859da84ca16d4c9240a68d1b8e920ed7

Aliases

arxiv: 1206.2390 · arxiv_version: 1206.2390v1 · doi: 10.48550/arxiv.1206.2390 · pith_short_12: CA42IJOWBRCH · pith_short_16: CA42IJOWBRCHMFPW · pith_short_8: CA42IJOW

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/CA42IJOWBRCHMFPWVPIDZCS626 \
  | 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: 1039a425d60c447615f6abd03c8a5ed7859da84ca16d4c9240a68d1b8e920ed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "115c82a8625342775e2d8745a2252fc40f92bc43bffe583a045e9479bb457d45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-06-11T22:05:45Z",
    "title_canon_sha256": "a67b6cbd79e6a541f7a615f2a8d51476ad1b92dddb037d34c39d730e705132a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2390",
    "kind": "arxiv",
    "version": 1
  }
}