Pith Number

pith:4SUJT3W6

pith:2001:4SUJT3W6JIZG4WUGA7XJHDEPA5

not attested not anchored not stored refs pending

On hidden Markov chains and finite stochastic systems

Peter Spreij

arxiv:math/0107144 v1 · 2001-07-20 · 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{4SUJT3W6JIZG4WUGA7XJHDEPA5}

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	2026-05-18T02:47:41.660004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4a899eede4a326e5a8607ee938c8f077cc617db522d2285d16c65db4f03074e

Aliases

arxiv: math/0107144 · arxiv_version: math/0107144v1 · doi: 10.48550/arxiv.math/0107144 · pith_short_12: 4SUJT3W6JIZG · pith_short_16: 4SUJT3W6JIZG4WUG · pith_short_8: 4SUJT3W6

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/4SUJT3W6JIZG4WUGA7XJHDEPA5 \
  | 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: e4a899eede4a326e5a8607ee938c8f077cc617db522d2285d16c65db4f03074e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67ee31635135d1b0da104a09925c174df0b20c089efbd8ea15c9b90ddd871381",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2001-07-20T09:27:44Z",
    "title_canon_sha256": "7e68d2faf2f312dd2a0701fb9b6f680b504f80ac581719048501d83dd059b802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107144",
    "kind": "arxiv",
    "version": 1
  }
}