Pith Number

pith:5DJKDQVT

pith:2011:5DJKDQVTZVF7O4CUXOVYOQ657P

not attested not anchored not stored refs pending

On the reversibility of the observed process of three-state hidden Markov model

Yong Chen

arxiv:1101.5482 v1 · 2011-01-28 · 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{5DJKDQVTZVF7O4CUXOVYOQ657P}

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	2026-05-18T04:30:34.871617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8d2a1c2b3cd4bf77054bbab8743ddfbef121d4b83d07473fd923b1bd7519e75

Aliases

arxiv: 1101.5482 · arxiv_version: 1101.5482v1 · doi: 10.48550/arxiv.1101.5482 · pith_short_12: 5DJKDQVTZVF7 · pith_short_16: 5DJKDQVTZVF7O4CU · pith_short_8: 5DJKDQVT

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/5DJKDQVTZVF7O4CUXOVYOQ657P \
  | 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: e8d2a1c2b3cd4bf77054bbab8743ddfbef121d4b83d07473fd923b1bd7519e75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2bed81f444ec572cd07dd527f8709e003df68127ab723e48c9e4b9ffa91d25c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-28T09:14:43Z",
    "title_canon_sha256": "4f5bd84c5634c1d0a1250dc164e9cc76fdc492101ad40159e180ee4a8c81a2f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5482",
    "kind": "arxiv",
    "version": 1
  }
}