Pith Number

pith:2VXSB2XJ

pith:2016:2VXSB2XJAZZRK6PY4UXMJDIDKL

not attested not anchored not stored refs pending

Gelfand Numbers of Embeddings of Mixed Besov Spaces

Van Kien Nguyen

arxiv:1607.05559 v2 · 2016-07-19 · 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{2VXSB2XJAZZRK6PY4UXMJDIDKL}

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	2026-05-18T01:10:42.469955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d56f20eae906731579f8e52ec48d0352cbe1b2c7f5573eef2aeb4965b796b4ed

Aliases

arxiv: 1607.05559 · arxiv_version: 1607.05559v2 · doi: 10.48550/arxiv.1607.05559 · pith_short_12: 2VXSB2XJAZZR · pith_short_16: 2VXSB2XJAZZRK6PY · pith_short_8: 2VXSB2XJ

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/2VXSB2XJAZZRK6PY4UXMJDIDKL \
  | 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: d56f20eae906731579f8e52ec48d0352cbe1b2c7f5573eef2aeb4965b796b4ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30343fa3b119c7fb56af52fd16fca0690f25125425a042c45338c4b5478e0f2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-19T12:59:27Z",
    "title_canon_sha256": "f1bcc646bb7764d1447f6b888199769121ccbc2cd729e5910c879959684dc569"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05559",
    "kind": "arxiv",
    "version": 2
  }
}