Pith Number

pith:QT3UJT2R

pith:2012:QT3UJT2RRSSEMMEDFY6EBDXKHJ

not attested not anchored not stored refs pending

Relationships among Interpolation Bases of Wavelet Spaces and Approximation Spaces

Mark A. Kon, Zhiguo Zhang

arxiv:1212.5643 v1 · 2012-12-22 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QT3UJT2RRSSEMMEDFY6EBDXKHJ}

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	2026-05-18T03:37:51.893835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84f744cf518ca44630832e3c408eea3a447bd6a1ac6729700347992eb5facf2e

Aliases

arxiv: 1212.5643 · arxiv_version: 1212.5643v1 · doi: 10.48550/arxiv.1212.5643 · pith_short_12: QT3UJT2RRSSE · pith_short_16: QT3UJT2RRSSEMMED · pith_short_8: QT3UJT2R

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/QT3UJT2RRSSEMMEDFY6EBDXKHJ \
  | 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: 84f744cf518ca44630832e3c408eea3a447bd6a1ac6729700347992eb5facf2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee03b96b4aabcfa5481f215ae4ab61809e36ec2f2ffa2c2bf1589360aa93e428",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-12-22T01:41:12Z",
    "title_canon_sha256": "e7ee9609249c76ee2cf959f1cf1936971d75a95515c9b2dc833c6526616586f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5643",
    "kind": "arxiv",
    "version": 1
  }
}