Pith Number

pith:PCRCRMJJ

pith:2011:PCRCRMJJHEX4DY5RQLVKJDHXPK

not attested not anchored not stored refs pending

Limit Theorems in Hidden Markov Models

Guangyue Han

arxiv:1102.0365 v2 · 2011-02-02 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCRCRMJJHEX4DY5RQLVKJDHXPK}

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	2026-05-18T03:58:04.636802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a228b129392fc1e3b182eaa48cf77ab76eb3ca7f0ff5d537c64168305fdae9

Aliases

arxiv: 1102.0365 · arxiv_version: 1102.0365v2 · doi: 10.48550/arxiv.1102.0365 · pith_short_12: PCRCRMJJHEX4 · pith_short_16: PCRCRMJJHEX4DY5R · pith_short_8: PCRCRMJJ

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/PCRCRMJJHEX4DY5RQLVKJDHXPK \
  | 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: 78a228b129392fc1e3b182eaa48cf77ab76eb3ca7f0ff5d537c64168305fdae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37e1f2310a2c9f75366c80c3d288e8c154d0609c9ab025481671ea592e8b89e8",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-02T05:48:09Z",
    "title_canon_sha256": "db1b0db9f0b8833049de7d9d931fed44341dccbf55929ac591dbb68c7ffec548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0365",
    "kind": "arxiv",
    "version": 2
  }
}