Pith Number

pith:PU5Q4ILK

pith:2009:PU5Q4ILKCPSLGZSNAF3M2MWSYF

not attested not anchored not stored refs pending

Approximating a Diffusion by a Hidden Markov Model

Ioannis Kontoyiannis, Sean P. Meyn

arxiv:0906.0259 v2 · 2009-06-01 · 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{PU5Q4ILKCPSLGZSNAF3M2MWSYF}

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	2026-05-18T01:16:22.005404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d3b0e216a13e4b3664d0176cd32d2c17bb659a750aaa1a39069b1acc29d459c

Aliases

arxiv: 0906.0259 · arxiv_version: 0906.0259v2 · doi: 10.48550/arxiv.0906.0259 · pith_short_12: PU5Q4ILKCPSL · pith_short_16: PU5Q4ILKCPSLGZSN · pith_short_8: PU5Q4ILK

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/PU5Q4ILKCPSLGZSNAF3M2MWSYF \
  | 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: 7d3b0e216a13e4b3664d0176cd32d2c17bb659a750aaa1a39069b1acc29d459c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f762560daeb34baef134f435bca03cf03a31697d91c0ce823d45969a661924f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-06-01T10:53:28Z",
    "title_canon_sha256": "ce0a59dce3f357bb10954e8da97aac64f57c3cbccd26cdd0ea0211160c0805f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0259",
    "kind": "arxiv",
    "version": 2
  }
}