Pith Number

pith:2AIEXI4S

pith:2014:2AIEXI4S2Z55N54EIFHWCQDRZ7

not attested not anchored not stored refs pending

Bernstein Numbers of Embeddings of Isotropic and Dominating Mixed Besov Spaces

Van Kien Nguyen

arxiv:1411.7246 v1 · 2014-11-26 · 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{2AIEXI4S2Z55N54EIFHWCQDRZ7}

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	2026-05-18T02:32:44.892971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0104ba392d67bd6f784414f614071cfd89812a52e06b8857f1ab95218c29d94

Aliases

arxiv: 1411.7246 · arxiv_version: 1411.7246v1 · doi: 10.48550/arxiv.1411.7246 · pith_short_12: 2AIEXI4S2Z55 · pith_short_16: 2AIEXI4S2Z55N54E · pith_short_8: 2AIEXI4S

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/2AIEXI4S2Z55N54EIFHWCQDRZ7 \
  | 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: d0104ba392d67bd6f784414f614071cfd89812a52e06b8857f1ab95218c29d94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bf21f86cc939580eebcdbc3b48b9c857d43fc61931d9daebaa1e231b099de0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-11-26T14:39:45Z",
    "title_canon_sha256": "553a8f7a73b08b1d47aa609b0e94ca7aaeb60381de1ef8036101a34c5480e299"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7246",
    "kind": "arxiv",
    "version": 1
  }
}