Pith Number

pith:KXZ6G5V6

pith:2014:KXZ6G5V6R7FPOQCQNC4TV2YQQL

not attested not anchored not stored refs pending

Information Geometry Approach to Parameter Estimation in Markov Chains

Masahito Hayashi, Shun Watanabe

arxiv:1401.3814 v4 · 2014-01-16 · math.ST · cs.IT · math.IT · 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{KXZ6G5V6R7FPOQCQNC4TV2YQQL}

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	2026-05-18T01:03:53.619308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55f3e376be8fcaf7405068b93aeb1082ebef2c68b309cd80e303e8a237e30e5c

Aliases

arxiv: 1401.3814 · arxiv_version: 1401.3814v4 · doi: 10.48550/arxiv.1401.3814 · pith_short_12: KXZ6G5V6R7FP · pith_short_16: KXZ6G5V6R7FPOQCQ · pith_short_8: KXZ6G5V6

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/KXZ6G5V6R7FPOQCQNC4TV2YQQL \
  | 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: 55f3e376be8fcaf7405068b93aeb1082ebef2c68b309cd80e303e8a237e30e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4099649d3c14d1253580a9cf3085cfe0bd9384cf65645d30fb8c904db8c1d199",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-01-16T02:35:13Z",
    "title_canon_sha256": "f23a5989c907221e0206ae5b4f072ce106523d11c7dd04659558eab0e6ab30c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3814",
    "kind": "arxiv",
    "version": 4
  }
}