Pith Number

pith:FIYOC7FT

pith:2013:FIYOC7FT46RX3NIBZHM4OFIGU2

not attested not anchored not stored refs pending

Compactness of higher-order Sobolev embeddings

Lenka Slav\'ikov\'a

arxiv:1311.0155 v1 · 2013-11-01 · 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{FIYOC7FT46RX3NIBZHM4OFIGU2}

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	2026-05-18T03:08:15.409500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a30e17cb3e7a37db501c9d9c71506a68719e0d3e48d4ff605501b1349d8e713

Aliases

arxiv: 1311.0155 · arxiv_version: 1311.0155v1 · doi: 10.48550/arxiv.1311.0155 · pith_short_12: FIYOC7FT46RX · pith_short_16: FIYOC7FT46RX3NIB · pith_short_8: FIYOC7FT

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/FIYOC7FT46RX3NIBZHM4OFIGU2 \
  | 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: 2a30e17cb3e7a37db501c9d9c71506a68719e0d3e48d4ff605501b1349d8e713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb916a3837055d3df57a2bd494836fe2c6f54a983fffb9e4caeba307b60ed76a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-01T12:01:28Z",
    "title_canon_sha256": "21617de63f19eb571337033581eb58d872f22fc6bb2a423baf9a54c019d16b35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0155",
    "kind": "arxiv",
    "version": 1
  }
}