Pith Number

pith:ZFMDAYVC

pith:2013:ZFMDAYVCYG22KDEACN6QTE7TVK

not attested not anchored not stored refs pending

Stability of the optimal filter in a hidden Markov model with multiplicative noise

Birgit Debrabant, Wilhelm Stannat

arxiv:1301.4428 v1 · 2013-01-18 · math.PR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFMDAYVCYG22KDEACN6QTE7TVK}

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	2026-05-18T03:36:05.439130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9583062a2c1b5a50c80137d0993f3aaaf998179ea11902b679930ebba36cc89

Aliases

arxiv: 1301.4428 · arxiv_version: 1301.4428v1 · doi: 10.48550/arxiv.1301.4428 · pith_short_12: ZFMDAYVCYG22 · pith_short_16: ZFMDAYVCYG22KDEA · pith_short_8: ZFMDAYVC

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/ZFMDAYVCYG22KDEACN6QTE7TVK \
  | 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: c9583062a2c1b5a50c80137d0993f3aaaf998179ea11902b679930ebba36cc89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "245bb7ccc10c0098f7d683641dccb8c54e7b03ae9456a0a4edebebc3b5705080",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-18T16:47:11Z",
    "title_canon_sha256": "0015a55d635512aea8907ce6be4ee81230cfdbbecc0f5a797f35bee6ec179459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4428",
    "kind": "arxiv",
    "version": 1
  }
}