Pith Number

pith:7AV4AFRB

pith:2012:7AV4AFRBETWPU4TZ2OPZGEE7Z4

not attested not anchored not stored refs pending

Optimal estimation of the mean function based on discretely sampled functional data: Phase transition

Ming Yuan, T. Tony Cai

arxiv:1202.5134 v1 · 2012-02-23 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7AV4AFRBETWPU4TZ2OPZGEE7Z4}

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	2026-05-18T04:01:38.881324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f82bc0162124ecfa7279d39f93109fcf373ce68e59be7f36faee9c1b1a0fceee

Aliases

arxiv: 1202.5134 · arxiv_version: 1202.5134v1 · doi: 10.48550/arxiv.1202.5134 · pith_short_12: 7AV4AFRBETWP · pith_short_16: 7AV4AFRBETWPU4TZ · pith_short_8: 7AV4AFRB

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/7AV4AFRBETWPU4TZ2OPZGEE7Z4 \
  | 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: f82bc0162124ecfa7279d39f93109fcf373ce68e59be7f36faee9c1b1a0fceee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a87990c90aa1436b75eb23dfb6794577b44ac5d14e4a979efce5e6f5092d850",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-02-23T09:38:27Z",
    "title_canon_sha256": "95c001a0f79c06444ee84f820d5a5d54331a9c243399a87b9d7993e792bc0310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5134",
    "kind": "arxiv",
    "version": 1
  }
}