Pith Number

pith:MPBH3SWF

pith:2018:MPBH3SWFEYJHCWPMQLDOTPMA7I

not attested not anchored not stored refs pending

Joint String Complexity for Markov Sources: Small Data Matters

Dimitris Milioris, Philippe Jacquet, Wojciech Szpankowski

arxiv:1805.09025 v1 · 2018-05-23 · 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{MPBH3SWFEYJHCWPMQLDOTPMA7I}

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	2026-05-18T00:15:08.735430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c27dcac526127159ec82c6e9bd80fa3cf095bc336c23ceba35170b6ec86593

Aliases

arxiv: 1805.09025 · arxiv_version: 1805.09025v1 · doi: 10.48550/arxiv.1805.09025 · pith_short_12: MPBH3SWFEYJH · pith_short_16: MPBH3SWFEYJHCWPM · pith_short_8: MPBH3SWF

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/MPBH3SWFEYJHCWPMQLDOTPMA7I \
  | 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: 63c27dcac526127159ec82c6e9bd80fa3cf095bc336c23ceba35170b6ec86593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f0c78c0d1b046ad7791f08c1b085f52ecfcef9d37e533286c604756fb233d20",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-05-23T09:25:40Z",
    "title_canon_sha256": "616e913e71c5890cf40e4408c8c2ebf716355ce7307c0db5ef66a60fa1d2de0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09025",
    "kind": "arxiv",
    "version": 1
  }
}