Pith Number

pith:RJHH52TA

pith:2013:RJHH52TACP4QEVMBMZEPKVIX3P

not attested not anchored not stored refs pending

The lumpability property for a family of Markov chains on poset block structures

Alfredo Donno, Daniele D'Angeli

arxiv:1304.4180 v1 · 2013-04-15 · math.CO · 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{RJHH52TACP4QEVMBMZEPKVIX3P}

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	2026-05-18T03:10:36.876336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a4e7eea6013f90255816648f55517dbc9c4fbecdd0a3f6697ff47d67eee80de

Aliases

arxiv: 1304.4180 · arxiv_version: 1304.4180v1 · doi: 10.48550/arxiv.1304.4180 · pith_short_12: RJHH52TACP4Q · pith_short_16: RJHH52TACP4QEVMB · pith_short_8: RJHH52TA

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/RJHH52TACP4QEVMBMZEPKVIX3P \
  | 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: 8a4e7eea6013f90255816648f55517dbc9c4fbecdd0a3f6697ff47d67eee80de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b679c4fce8420ed823d1752656edfaec4bfe6ab6e03fec98a9a7244dc98cf4a0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-15T17:26:05Z",
    "title_canon_sha256": "d4944bf42ff2036be27272915a7e625c25469665b4c6d6a8a52cf72933216f17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4180",
    "kind": "arxiv",
    "version": 1
  }
}