Pith Number

pith:4Z5Q5T5K

pith:2018:4Z5Q5T5KPDGECCU445DUBG5S2Y

not attested not anchored not stored refs pending

Bias of Particle Approximations to Optimal Filter Derivative

Arnaud Doucet, Vladislav Z.B. Tadic

arxiv:1806.09590 v5 · 2018-06-25 · math.ST · math.OC · 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{4Z5Q5T5KPDGECCU445DUBG5S2Y}

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	2026-07-05T02:04:01.665480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e67b0ecfaa78cc410a9ce747409bb2d6345ddfd7dd9a46a283a4015d5b1a36f7

Aliases

arxiv: 1806.09590 · arxiv_version: 1806.09590v5 · doi: 10.48550/arxiv.1806.09590 · pith_short_12: 4Z5Q5T5KPDGE · pith_short_16: 4Z5Q5T5KPDGECCU4 · pith_short_8: 4Z5Q5T5K

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/4Z5Q5T5KPDGECCU445DUBG5S2Y \
  | 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: e67b0ecfaa78cc410a9ce747409bb2d6345ddfd7dd9a46a283a4015d5b1a36f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f02b84506aa77fdf2d7c6a5297a2772c82f2fce1ad9f4878b8da68f1068aa507",
    "cross_cats_sorted": [
      "math.OC",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-06-25T17:38:26Z",
    "title_canon_sha256": "89ab8e340a86675a6ea2e4dd233b84a6c83a8f372503f6034a25e4a2a9c0f10b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09590",
    "kind": "arxiv",
    "version": 5
  }
}