Pith Number

pith:YVTWMFBE

pith:2006:YVTWMFBE4EKFQNFWICAZ5DTVO4

not attested not anchored not stored refs pending

Approximation of stationary processes by Hidden Markov Models

Angela Grassi, Lorenzo Finesso, Peter Spreij

arxiv:math/0606591 v2 · 2006-06-23 · math.OC · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVTWMFBE4EKFQNFWICAZ5DTVO4}

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	2026-05-18T02:48:26.324743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c567661424e1145834b640819e8e7577177d79853d19c8c81a3490f7b4ea2aef

Aliases

arxiv: math/0606591 · arxiv_version: math/0606591v2 · doi: 10.48550/arxiv.math/0606591 · pith_short_12: YVTWMFBE4EKF · pith_short_16: YVTWMFBE4EKFQNFW · pith_short_8: YVTWMFBE

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/YVTWMFBE4EKFQNFWICAZ5DTVO4 \
  | 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: c567661424e1145834b640819e8e7577177d79853d19c8c81a3490f7b4ea2aef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b69928774d75614d4cb10e3c3a88c8645bb960d2ed8622af0903d98283a0a62",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2006-06-23T11:20:43Z",
    "title_canon_sha256": "8dd87b0549ba79490ef38ce9f5b77732493f2aee4c05042517bde5d90a684624"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606591",
    "kind": "arxiv",
    "version": 2
  }
}