Pith Number

pith:KF4K3JTV

pith:2017:KF4K3JTV5T46SDXMZ2UAKHHAWC

not attested not anchored not stored refs pending

Approximation properties of hybrid shearlet-wavelet frames for Sobolev spaces

Mones Raslan, Philipp Petersen

arxiv:1712.01047 v2 · 2017-12-04 · 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{KF4K3JTV5T46SDXMZ2UAKHHAWC}

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	2026-05-17T23:52:24.604675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5178ada675ecf9e90eeccea8051ce0b0ab4423b5c95dcf38a3340ef3e0d638b7

Aliases

arxiv: 1712.01047 · arxiv_version: 1712.01047v2 · doi: 10.48550/arxiv.1712.01047 · pith_short_12: KF4K3JTV5T46 · pith_short_16: KF4K3JTV5T46SDXM · pith_short_8: KF4K3JTV

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/KF4K3JTV5T46SDXMZ2UAKHHAWC \
  | 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: 5178ada675ecf9e90eeccea8051ce0b0ab4423b5c95dcf38a3340ef3e0d638b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49d17fe6508e9c205d0da0d35ba22c5ab7c683d22c29ee579f2bf81042a1f49c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-12-04T12:55:43Z",
    "title_canon_sha256": "221c259a64aa430f858a938a568cbd43ac2f4ec944e76af828d0b6692b77452c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01047",
    "kind": "arxiv",
    "version": 2
  }
}