Pith Number

pith:BYM4XWWQ

pith:2011:BYM4XWWQFDZYL7KHE4CMN7JOIF

not attested not anchored not stored refs pending

Partially observed Markov random fields are variable neighborhood random fields

Antonio Galves, Eva Loecherbach, Marzio Cassandro

arxiv:1111.1177 v3 · 2011-11-04 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYM4XWWQFDZYL7KHE4CMN7JOIF}

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	2026-05-18T01:59:45.427920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e19cbdad028f385fd472704c6fd2e4172f18b6b20794c7cd0ad2540f1e8efcc

Aliases

arxiv: 1111.1177 · arxiv_version: 1111.1177v3 · doi: 10.48550/arxiv.1111.1177 · pith_short_12: BYM4XWWQFDZY · pith_short_16: BYM4XWWQFDZYL7KH · pith_short_8: BYM4XWWQ

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/BYM4XWWQFDZYL7KHE4CMN7JOIF \
  | 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: 0e19cbdad028f385fd472704c6fd2e4172f18b6b20794c7cd0ad2540f1e8efcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65b57906ff4e2cb6766048e12755eee9d3b362b89d873ba26cd95e7ce9144bba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-04T16:44:27Z",
    "title_canon_sha256": "cb21d6ab7d7d7f183381f467fe58c9ade319279ab17882b13be67f17280534d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1177",
    "kind": "arxiv",
    "version": 3
  }
}