Pith Number

pith:SMHZRJXC

pith:2005:SMHZRJXCERHAE7UGRLB6UY2CX4

not attested not anchored not stored refs pending

Non singularity of the asymptotic Fisher information matrix in hidden Markov models

Randal Douc (CMAP)

arxiv:math/0511631 v1 · 2005-11-25 · math.ST · 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{SMHZRJXCERHAE7UGRLB6UY2CX4}

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	2026-07-04T15:02:00.072867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

930f98a6e2244e027e868ac3ea6342bf1920054d946f9b5788f5133e8d9fe6b3

Aliases

arxiv: math/0511631 · arxiv_version: math/0511631v1 · doi: 10.48550/arxiv.math/0511631 · pith_short_12: SMHZRJXCERHA · pith_short_16: SMHZRJXCERHAE7UG · pith_short_8: SMHZRJXC

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/SMHZRJXCERHAE7UGRLB6UY2CX4 \
  | 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: 930f98a6e2244e027e868ac3ea6342bf1920054d946f9b5788f5133e8d9fe6b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0194ccc7e4b5be9d1d6b15c43d48244d8e68c726485b29669c20c369bd4ad88b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2005-11-25T15:45:57Z",
    "title_canon_sha256": "50af33d7fc9223a406ce07aa6a6b5fe4e30283c72f6f8a981d49bb0ac823be11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511631",
    "kind": "arxiv",
    "version": 1
  }
}