Pith Number

pith:VSICHMZH

pith:2013:VSICHMZH6WJP7DDM4277K2F5XR

not attested not anchored not stored refs pending

Kolmogorov's Problem on the Class of Multiply Monotone Functions

Oleg Kovalenko, Vladyslav Babenko, Yuliya Babenko

arxiv:1308.5268 v1 · 2013-08-24 · 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{VSICHMZH6WJP7DDM4277K2F5XR}

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	2026-05-18T03:15:07.263306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac9023b327f592ff8c6ce6bff568bdbc4759c8b2d3d85be6f07bc17c8564d1c7

Aliases

arxiv: 1308.5268 · arxiv_version: 1308.5268v1 · doi: 10.48550/arxiv.1308.5268 · pith_short_12: VSICHMZH6WJP · pith_short_16: VSICHMZH6WJP7DDM · pith_short_8: VSICHMZH

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/VSICHMZH6WJP7DDM4277K2F5XR \
  | 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: ac9023b327f592ff8c6ce6bff568bdbc4759c8b2d3d85be6f07bc17c8564d1c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ab3c86d2dbeebe0d44ebcbcc26fe0ac1079baf47edbf8ebc8a1205e59e6ffa2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-24T00:44:01Z",
    "title_canon_sha256": "47e65055583aa6f1caf7537595135e2ddcc5f310ecfd14e41e5410a05e9d4ae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5268",
    "kind": "arxiv",
    "version": 1
  }
}