Pith Number

pith:BLDA35XE

pith:2024:BLDA35XERDZXLINDDPVIALURIA

not attested not anchored not stored refs pending

Embeddings of anisotropic Sobolev spaces into spaces of anisotropic H\"{o}lder-continuous functions

Du\v{s}an D. Repov\v{s}, Nabil Chems Eddine

arxiv:2411.08829 v2 · 2024-11-13 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BLDA35XERDZXLINDDPVIALURIA}

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	2026-07-05T09:38:15.865296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ac60df6e488f375a1a31bea802e9140167a965a87e6e0c4b54efa14ce7cbd59

Aliases

arxiv: 2411.08829 · arxiv_version: 2411.08829v2 · doi: 10.48550/arxiv.2411.08829 · pith_short_12: BLDA35XERDZX · pith_short_16: BLDA35XERDZXLIND · pith_short_8: BLDA35XE

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/BLDA35XERDZXLINDDPVIALURIA \
  | 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: 0ac60df6e488f375a1a31bea802e9140167a965a87e6e0c4b54efa14ce7cbd59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "316e857149b81155e06484753dce2adda5e9b5bde346bb418eb23a1104edb6fd",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-11-13T18:08:36Z",
    "title_canon_sha256": "e92ab2da0235bbd5f63956807c55cc3859dff138d51711d1ce2cb4b38d5ccd3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.08829",
    "kind": "arxiv",
    "version": 2
  }
}