Pith Number

pith:3K5LV2KE

pith:2015:3K5LV2KEUDNVVKYSUEC23BF2AY

not attested not anchored not stored refs pending

Efficiency of Z-estimators indexed by the objective functions

Fran\c{c}ois Portier

arxiv:1509.04413 v1 · 2015-09-15 · math.ST · stat.ME · 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{3K5LV2KEUDNVVKYSUEC23BF2AY}

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	2026-05-18T01:33:07.235180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dababae944a0db5aab12a105ad84ba060c4acbecbe916e997f4c9512d6519259

Aliases

arxiv: 1509.04413 · arxiv_version: 1509.04413v1 · doi: 10.48550/arxiv.1509.04413 · pith_short_12: 3K5LV2KEUDNV · pith_short_16: 3K5LV2KEUDNVVKYS · pith_short_8: 3K5LV2KE

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/3K5LV2KEUDNVVKYSUEC23BF2AY \
  | 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: dababae944a0db5aab12a105ad84ba060c4acbecbe916e997f4c9512d6519259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a8b952fb2024c4284ab705bda66b7ef0b91959a87ce47ef0151bf3a1678fdc4",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-09-15T06:17:07Z",
    "title_canon_sha256": "6515c5df6c9d40593ae98c59c45fb21ec734265933144ffa211038a9b6fc1208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04413",
    "kind": "arxiv",
    "version": 1
  }
}