Pith Number

pith:HIKM5FW2

pith:2015:HIKM5FW2WJGVCIY62QGSOX6CP7

not attested not anchored not stored refs pending

Forward-reverse EM algorithm for Markov chains: convergence and numerical analysis

Christian Bayer, Hilmar Mai, John Schoenmakers

arxiv:1501.07091 v1 · 2015-01-28 · math.ST · math.NA · 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{HIKM5FW2WJGVCIY62QGSOX6CP7}

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	2026-05-18T02:28:30.297483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a14ce96dab24d51231ed40d275fc27fca4b9f2625c91d10315dcfb58cd2c0b5

Aliases

arxiv: 1501.07091 · arxiv_version: 1501.07091v1 · doi: 10.48550/arxiv.1501.07091 · pith_short_12: HIKM5FW2WJGV · pith_short_16: HIKM5FW2WJGVCIY6 · pith_short_8: HIKM5FW2

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/HIKM5FW2WJGVCIY62QGSOX6CP7 \
  | 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: 3a14ce96dab24d51231ed40d275fc27fca4b9f2625c91d10315dcfb58cd2c0b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10ccfadf24aab474c2fab22333b0fa82e0c426484c66e6cceed14547552bb211",
    "cross_cats_sorted": [
      "math.NA",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-01-28T13:01:37Z",
    "title_canon_sha256": "3d1cde0a6a34cb787e2ace9bf8e0e0dcabb7685929502c3d0a71e72b7f71fbaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07091",
    "kind": "arxiv",
    "version": 1
  }
}