Pith Number

pith:SFAQTE2Y

pith:2025:SFAQTE2YMAEVBHEEFJVEFPT5DX

not attested not anchored not stored refs pending

Applications of extrapolations to wavelet characterization of various function spaces and extension operators

Mitsuo Izuki, Takahiro Noi, Yoshihiro Sawano

arxiv:2501.09912 v2 · 2025-01-17 · 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{SFAQTE2YMAEVBHEEFJVEFPT5DX}

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	2026-07-05T11:13:18.707770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91410993586009509c842a6a42be7d1dfadc8227873e412af9db7cb619bc08e3

Aliases

arxiv: 2501.09912 · arxiv_version: 2501.09912v2 · doi: 10.48550/arxiv.2501.09912 · pith_short_12: SFAQTE2YMAEV · pith_short_16: SFAQTE2YMAEVBHEE · pith_short_8: SFAQTE2Y

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/SFAQTE2YMAEVBHEEFJVEFPT5DX \
  | 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: 91410993586009509c842a6a42be7d1dfadc8227873e412af9db7cb619bc08e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cefa150dde651a106e81fe2c6d6973e25297347ecb7ec918537f4748f81b25b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-01-17T01:58:02Z",
    "title_canon_sha256": "8767612cd6339540a185811330d98fb3d6422230cce922671f2e8e161d47646d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.09912",
    "kind": "arxiv",
    "version": 2
  }
}