Pith Number

pith:U6OAHRIG

pith:2013:U6OAHRIGTCESUT73YK6VKCUK33

not attested not anchored not stored refs pending

A General Family of Estimators for Estimating Population Mean in Systematic Sampling Using Auxiliary Information in the Presence of Missing Observations

Jayant Singh, M.K. Chaudhary, Rajesh Singh, Sachin Malik

arxiv:1305.1778 v1 · 2013-05-08 · 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{U6OAHRIGTCESUT73YK6VKCUK33}

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	2026-05-18T03:26:11.239136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a79c03c50698892a4ffbc2bd550a8adee769aabd6dcfa1cc18f85ffae9315b48

Aliases

arxiv: 1305.1778 · arxiv_version: 1305.1778v1 · doi: 10.48550/arxiv.1305.1778 · pith_short_12: U6OAHRIGTCES · pith_short_16: U6OAHRIGTCESUT73 · pith_short_8: U6OAHRIG

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/U6OAHRIGTCESUT73YK6VKCUK33 \
  | 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: a79c03c50698892a4ffbc2bd550a8adee769aabd6dcfa1cc18f85ffae9315b48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "030b98ad727edfcdb74a232c22e775366a0eb22e011f119c318c1c96377e852f",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-05-08T11:10:39Z",
    "title_canon_sha256": "027a6dc3a06475dcdfee545bff74604d1372a67b01621e031e2efb136f1f71ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1778",
    "kind": "arxiv",
    "version": 1
  }
}