Pith Number

pith:MUABDSPG

pith:2013:MUABDSPGFQDWNCAB2MYJZG4D7B

not attested not anchored not stored refs pending

Finite-Length Analyses for Source and Channel Coding on Markov Chains

Masahito Hayashi, Shun Watanabe

arxiv:1309.7528 v5 · 2013-09-29 · 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{MUABDSPGFQDWNCAB2MYJZG4D7B}

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	2026-05-18T00:53:12.748650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

650011c9e62c07668801d3309c9b83f84cd87ec705227e9f6a3b795c078af69a

Aliases

arxiv: 1309.7528 · arxiv_version: 1309.7528v5 · doi: 10.48550/arxiv.1309.7528 · pith_short_12: MUABDSPGFQDW · pith_short_16: MUABDSPGFQDWNCAB · pith_short_8: MUABDSPG

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/MUABDSPGFQDWNCAB2MYJZG4D7B \
  | 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: 650011c9e62c07668801d3309c9b83f84cd87ec705227e9f6a3b795c078af69a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c2b0529481a5e5c84f4a882f5b723b351171eba4cc3412aa19d25f25f00db19",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-09-29T03:50:15Z",
    "title_canon_sha256": "7d6bda31034b4c8e6181cc2f92256d2cf2f3c5bdc60436c33f2273cf956e6566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7528",
    "kind": "arxiv",
    "version": 5
  }
}