Pith Number

pith:CXBJB44B

pith:2010:CXBJB44BQAUDCDPHAWTSOAO6DA

not attested not anchored not stored refs pending

Basic embeddings and Hilbert's 13th problem on superpositions (in Russian)

A. Skopenkov

arxiv:1001.4011 v1 · 2010-01-22 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXBJB44BQAUDCDPHAWTSOAO6DA}

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	2026-05-18T04:42:03.349746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15c290f3818028310de705a72701de180153f66659e5d197d2fd1006d1e6b525

Aliases

arxiv: 1001.4011 · arxiv_version: 1001.4011v1 · doi: 10.48550/arxiv.1001.4011 · pith_short_12: CXBJB44BQAUD · pith_short_16: CXBJB44BQAUDCDPH · pith_short_8: CXBJB44B

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/CXBJB44BQAUDCDPHAWTSOAO6DA \
  | 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: 15c290f3818028310de705a72701de180153f66659e5d197d2fd1006d1e6b525

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "062bd00d5b4239186c7920cf17188b2e5ded79d2b7cda228dae9d31200585254",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-01-22T15:40:33Z",
    "title_canon_sha256": "eced82ecbe07c8c4bf15ff8eba65020770a813d063cd97eb4e4f80d4946163de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4011",
    "kind": "arxiv",
    "version": 1
  }
}