Pith Number

pith:CR5ZFBLI

pith:2016:CR5ZFBLI2WWCJ7OV6G4TY7N4GJ

not attested not anchored not stored refs pending

Equivalence of Weighted Anchored and ANOVA Spaces of Functions with Mixed Smoothness of Order one in $L_p$

Aicke Hinrichs, Grzegorz W. Wasilkowski, Klaus Ritter, Mario Hefter, Michael Gnewuch

arxiv:1610.07075 v1 · 2016-10-22 · math.NA · cs.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{CR5ZFBLI2WWCJ7OV6G4TY7N4GJ}

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	2026-06-04T18:10:08.017380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

147b928568d5ac24fdd5f1b93c7dbc3253d284c8487c9e7623e2d030cac7f27b

Aliases

arxiv: 1610.07075 · arxiv_version: 1610.07075v1 · doi: 10.48550/arxiv.1610.07075 · pith_short_12: CR5ZFBLI2WWC · pith_short_16: CR5ZFBLI2WWCJ7OV · pith_short_8: CR5ZFBLI

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/CR5ZFBLI2WWCJ7OV6G4TY7N4GJ \
  | 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: 147b928568d5ac24fdd5f1b93c7dbc3253d284c8487c9e7623e2d030cac7f27b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fcf5ea5b52dc0c34cb4a2a0172a307551d4c03e2f90e92cdb6eb30e63602676",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-10-22T17:01:21Z",
    "title_canon_sha256": "dfe318950f60b638966b556c6504cea7040d8ef766f37a4b4c7a688cb261e1a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07075",
    "kind": "arxiv",
    "version": 1
  }
}