Pith Number

pith:W4EGDXUO

pith:2016:W4EGDXUOP6ZVJI56XVOUZ3YVL2

not attested not anchored not stored refs pending

Dimension Reduction in Statistical Estimation of Partially Observed Multiscale Processes

Andrew Papanicolaou, Konstantinos Spiliopoulos

arxiv:1607.06158 v3 · 2016-07-21 · math.PR · math.ST · q-fin.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{W4EGDXUOP6ZVJI56XVOUZ3YVL2}

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	2026-05-18T00:29:39.562864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b70861de8e7fb354a3bebd5d4cef155eb4fbcf8d6795b8c82e9936ae4c29adb4

Aliases

arxiv: 1607.06158 · arxiv_version: 1607.06158v3 · doi: 10.48550/arxiv.1607.06158 · pith_short_12: W4EGDXUOP6ZV · pith_short_16: W4EGDXUOP6ZVJI56 · pith_short_8: W4EGDXUO

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/W4EGDXUOP6ZVJI56XVOUZ3YVL2 \
  | 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: b70861de8e7fb354a3bebd5d4cef155eb4fbcf8d6795b8c82e9936ae4c29adb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a7d7607c01fe77c712bddc56aeb5944c7b70f704d83cd6ab2fdf4a3470600fd",
    "cross_cats_sorted": [
      "math.ST",
      "q-fin.ST",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-21T00:14:31Z",
    "title_canon_sha256": "4e4533db5ecb8a790a41e9c749e4b75f72006f0d3a1b7dadd2a57083af252d73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06158",
    "kind": "arxiv",
    "version": 3
  }
}