Pith Number

pith:DU2KSG5U

pith:2023:DU2KSG5UEFNLASMY4GFUXHYVD4

not attested not anchored not stored refs pending

Information divergences of Markov chains and their applications

Michael C.H. Choi, Youjia Wang

arxiv:2312.04863 v1 · 2023-12-08 · cs.IT · math.IT · math.PR · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DU2KSG5UEFNLASMY4GFUXHYVD4}

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.

Cited by

1 paper in Pith

The Sample Complexity of Lossless Data Compression

Receipt and verification

First computed	2026-07-05T07:21:53.561715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d34a91bb4215ab04998e18b4b9f151f0643dd95d42e7f50a7d162e8b26e873b

Aliases

arxiv: 2312.04863 · arxiv_version: 2312.04863v1 · doi: 10.48550/arxiv.2312.04863 · pith_short_12: DU2KSG5UEFNL · pith_short_16: DU2KSG5UEFNLASMY · pith_short_8: DU2KSG5U

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/DU2KSG5UEFNLASMY4GFUXHYVD4 \
  | 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: 1d34a91bb4215ab04998e18b4b9f151f0643dd95d42e7f50a7d162e8b26e873b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2399e373fded2c7fce5067a35561d3e645631a3c6902e5a0e9e88efbf0702c6a",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR",
      "stat.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2023-12-08T06:38:11Z",
    "title_canon_sha256": "f572fe864c6de8db3f543f2685395e1660abef57292077dad7a26bd21410dd4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.04863",
    "kind": "arxiv",
    "version": 1
  }
}