Pith Number

pith:BOUYCQGS

pith:2024:BOUYCQGSMOWWILI2DJRM2NPVR2

not attested not anchored not stored refs pending

On the lumpability of tree-valued Markov chains

Luiz M. Carvalho, Rodrigo B. Alves, Yuri F. Saporito

arxiv:2410.17919 v1 · 2024-10-23 · math.PR · math.CO · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BOUYCQGSMOWWILI2DJRM2NPVR2}

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	2026-07-05T09:24:46.777145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ba98140d263ad642d1a1a62cd35f58e9390a7b96122dd8b454bfe8f3fcedb7b

Aliases

arxiv: 2410.17919 · arxiv_version: 2410.17919v1 · doi: 10.48550/arxiv.2410.17919 · pith_short_12: BOUYCQGSMOWW · pith_short_16: BOUYCQGSMOWWILI2 · pith_short_8: BOUYCQGS

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/BOUYCQGSMOWWILI2DJRM2NPVR2 \
  | 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: 0ba98140d263ad642d1a1a62cd35f58e9390a7b96122dd8b454bfe8f3fcedb7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3437c6eb1a32d413590c09c5f5ab54806840c98f607cc2e4bdeca01b904f0f2",
    "cross_cats_sorted": [
      "math.CO",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-10-23T14:36:30Z",
    "title_canon_sha256": "ffc87740a5239883a64c7dd72ee3a6681da2f6db0302c44e342a183c639794b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.17919",
    "kind": "arxiv",
    "version": 1
  }
}