Pith Number

pith:RHIOOX2F

pith:2013:RHIOOX2FCVKTNH4P36HDOKJCXG

not attested not anchored not stored refs pending

New explicit-in-dimension estimates for the cardinality of high-dimensional hyperbolic crosses and approximation of functions having mixed smoothness

Alexey Chernov, Dinh Dung

arxiv:1309.5170 v3 · 2013-09-20 · 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{RHIOOX2FCVKTNH4P36HDOKJCXG}

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	2026-05-18T03:01:24.081674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89d0e75f451555369f8fdf8e372922b9ab471e49a05ab7ae8cb62f223a3163b2

Aliases

arxiv: 1309.5170 · arxiv_version: 1309.5170v3 · doi: 10.48550/arxiv.1309.5170 · pith_short_12: RHIOOX2FCVKT · pith_short_16: RHIOOX2FCVKTNH4P · pith_short_8: RHIOOX2F

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/RHIOOX2FCVKTNH4P36HDOKJCXG \
  | 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: 89d0e75f451555369f8fdf8e372922b9ab471e49a05ab7ae8cb62f223a3163b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "401583dda76da93c976426792fcff3ada365288679a025bc2deef1bde058b06f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-09-20T04:47:20Z",
    "title_canon_sha256": "811e2f89946a71f857d6ec5ba268214b33e465225febe75cddfa2f3d579200cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5170",
    "kind": "arxiv",
    "version": 3
  }
}