Pith Number

pith:JLSJPYTQ

pith:2009:JLSJPYTQDJZJTCFSFZTXGTCB2A

not attested not anchored not stored refs pending

An Interpolatory Estimate for the UMD-Valued Directional Haar Projection

R. Lechner

arxiv:0902.3597 v1 · 2009-02-20 · 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{JLSJPYTQDJZJTCFSFZTXGTCB2A}

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	2026-05-18T00:04:24.613425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ae497e2701a729988b22e67734c41d005caf866cd627db3f1ff5a7886179276

Aliases

arxiv: 0902.3597 · arxiv_version: 0902.3597v1 · doi: 10.48550/arxiv.0902.3597 · pith_short_12: JLSJPYTQDJZJ · pith_short_16: JLSJPYTQDJZJTCFS · pith_short_8: JLSJPYTQ

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/JLSJPYTQDJZJTCFSFZTXGTCB2A \
  | 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: 4ae497e2701a729988b22e67734c41d005caf866cd627db3f1ff5a7886179276

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e44a9d88aec787934ff46fffe6d37e4fdbba55a08f2c469598f4cfc85e7feb57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-02-20T15:04:55Z",
    "title_canon_sha256": "2f4f11060cb0afb27091668ae9c97d005920b6aa42bfc53d25b329922f7c3b35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3597",
    "kind": "arxiv",
    "version": 1
  }
}