Pith Number

pith:RR37A7KX

pith:2017:RR37A7KXIY6QZWDSICKSD2I5VD

not attested not anchored not stored refs pending

The exponential family of Markov chains and its information geometry

Hiroshi Nagaoka

arxiv:1701.06119 v1 · 2017-01-22 · 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{RR37A7KXIY6QZWDSICKSD2I5VD}

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	2026-05-18T00:52:19.244030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c77f07d57463d0cd872409521e91da8d29b027b55e6d775ef46c828e4d08861

Aliases

arxiv: 1701.06119 · arxiv_version: 1701.06119v1 · doi: 10.48550/arxiv.1701.06119 · pith_short_12: RR37A7KXIY6Q · pith_short_16: RR37A7KXIY6QZWDS · pith_short_8: RR37A7KX

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/RR37A7KXIY6QZWDSICKSD2I5VD \
  | 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: 8c77f07d57463d0cd872409521e91da8d29b027b55e6d775ef46c828e4d08861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfa31c6c53aa1b9e5ce493b007addd67e4ff32969b33d80e62b279b2871a1d43",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-01-22T03:58:33Z",
    "title_canon_sha256": "48e3b8793571f947549cda1c6127e1c49fb8998b9379049542e05a5862355647"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06119",
    "kind": "arxiv",
    "version": 1
  }
}