Pith Number

pith:3NXX7Z6L

pith:2011:3NXX7Z6LRGJZENNEW4HBCQ4MHW

not attested not anchored not stored refs pending

An application of the stationary phase method for estimating probability densities of function derivatives

Anand Rangarajan, Arunava Banerjee, Karthik S. Gurumoorthy

arxiv:1108.1783 v4 · 2011-08-08 · stat.ML · 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{3NXX7Z6LRGJZENNEW4HBCQ4MHW}

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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	2026-05-18T03:34:46.340907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db6f7fe7cb89939235a4b70e11438c3d8f7f2b4c267cf63bfcec97219da6d07c

Aliases

arxiv: 1108.1783 · arxiv_version: 1108.1783v4 · doi: 10.48550/arxiv.1108.1783 · pith_short_12: 3NXX7Z6LRGJZ · pith_short_16: 3NXX7Z6LRGJZENNE · pith_short_8: 3NXX7Z6L

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/3NXX7Z6LRGJZENNEW4HBCQ4MHW \
  | 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: db6f7fe7cb89939235a4b70e11438c3d8f7f2b4c267cf63bfcec97219da6d07c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04cee7a8055480f956fbe693713cebbea68b3b37890faeebf09e3fe3e1dd25c3",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2011-08-08T19:24:41Z",
    "title_canon_sha256": "87a1c6fabcbf9be996369c89762fe5fb0d796de9ed697a81df82d7ebab40cc44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1783",
    "kind": "arxiv",
    "version": 4
  }
}