Pith Number

pith:OCJ6TLRM

pith:2011:OCJ6TLRMKVAL3XOVRR2SFZR7RW

not attested not anchored not stored refs pending

Multidimensional Chebyshev spaces, hierarchy of infinite-dimensional spaces and Kolmogorov-Gelfand widths

O. Kounchev

arxiv:1105.0786 v2 · 2011-05-04 · math.AP · math.FA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OCJ6TLRMKVAL3XOVRR2SFZR7RW}

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	2026-05-18T04:22:31.608903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7093e9ae2c5540bdddd58c7522e63f8d91155a9be89c604803d5d494d00f8edb

Aliases

arxiv: 1105.0786 · arxiv_version: 1105.0786v2 · doi: 10.48550/arxiv.1105.0786 · pith_short_12: OCJ6TLRMKVAL · pith_short_16: OCJ6TLRMKVAL3XOV · pith_short_8: OCJ6TLRM

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/OCJ6TLRMKVAL3XOVRR2SFZR7RW \
  | 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: 7093e9ae2c5540bdddd58c7522e63f8d91155a9be89c604803d5d494d00f8edb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd7c101d390ea8a5c4791a41c1cc10a8a4531857185c0354d5e7f5176af3ed27",
    "cross_cats_sorted": [
      "math.FA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-04T10:32:45Z",
    "title_canon_sha256": "45dfc18bf8d9c9a338ec5df88f2a5cf492a7ceb8ac3fed0253bdea29bbb20add"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0786",
    "kind": "arxiv",
    "version": 2
  }
}