Pith Number

pith:3VH5QO4T

pith:2012:3VH5QO4TPZECSKMUZ5WMXAIYJO

not attested not anchored not stored refs pending

Flow Decomposition Reveals Dynamical Structure of Markov Process

Bo Yuan, Jianghong Shi, Ping Ao, Tianqi Chen

arxiv:1206.2189 v1 · 2012-06-11 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VH5QO4TPZECSKMUZ5WMXAIYJO}

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	2026-05-18T03:53:53.246193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd4fd83b937e48292994cf6ccb81184bb95c125b645888a2baaee5ab13fb6ec4

Aliases

arxiv: 1206.2189 · arxiv_version: 1206.2189v1 · doi: 10.48550/arxiv.1206.2189 · pith_short_12: 3VH5QO4TPZEC · pith_short_16: 3VH5QO4TPZECSKMU · pith_short_8: 3VH5QO4T

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/3VH5QO4TPZECSKMUZ5WMXAIYJO \
  | 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: dd4fd83b937e48292994cf6ccb81184bb95c125b645888a2baaee5ab13fb6ec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20bd79051992a220af9d8f4d123084f5680babe4f331ee8e7a71ad9fb8b5decc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-11T12:59:13Z",
    "title_canon_sha256": "70ed2af02e7857251072ed068ab47edaca732c3d2adaef4a69e8262d85016295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2189",
    "kind": "arxiv",
    "version": 1
  }
}