Pith Number

pith:OPCF3Y5G

pith:2016:OPCF3Y5GHHZSFNKQ7OOW5XWZU2

not attested not anchored not stored refs pending

On Information-Theoretic Characterizations of Markov Random Fields and Subfields

Ali Al-Bashabsheh, Chao Chen, Pierre Moulin, Qi Chen, Raymond W. Yeung

arxiv:1608.03697 v2 · 2016-08-12 · cs.DM · 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{OPCF3Y5GHHZSFNKQ7OOW5XWZU2}

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	2026-05-18T00:25:42.445845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73c45de3a639f322b550fb9d6eded9a6bde6c1c037bdb45e9c7f37ec0ae290ec

Aliases

arxiv: 1608.03697 · arxiv_version: 1608.03697v2 · doi: 10.48550/arxiv.1608.03697 · pith_short_12: OPCF3Y5GHHZS · pith_short_16: OPCF3Y5GHHZSFNKQ · pith_short_8: OPCF3Y5G

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/OPCF3Y5GHHZSFNKQ7OOW5XWZU2 \
  | 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: 73c45de3a639f322b550fb9d6eded9a6bde6c1c037bdb45e9c7f37ec0ae290ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30114ee377d412526da8a47f9902905a3b5653d23dd1ea3db1a6ac6640f67ee3",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-08-12T07:39:59Z",
    "title_canon_sha256": "0352d2ad1d7b72b002f0d300bb680b269f72bc1b842e7ce005262bd8e63ff411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03697",
    "kind": "arxiv",
    "version": 2
  }
}