Pith Number

pith:TCSR7YFE

pith:2011:TCSR7YFE6OAZKXSCBDVGNRLCBL

not attested not anchored not stored refs pending

The Invariant Measure of Homogeneous Markov Processes in The Quarter-Plane: Representation in Geometric Terms

Jasper Goseling, Richard J. Boucherie, Yanting Chen

arxiv:1112.2890 v3 · 2011-12-13 · 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{TCSR7YFE6OAZKXSCBDVGNRLCBL}

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	2026-05-18T02:58:22.275875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a51fe0a4f381955e4208ea66c5620afdef1034be1f36abb0216fd763a44edd

Aliases

arxiv: 1112.2890 · arxiv_version: 1112.2890v3 · doi: 10.48550/arxiv.1112.2890 · pith_short_12: TCSR7YFE6OAZ · pith_short_16: TCSR7YFE6OAZKXSC · pith_short_8: TCSR7YFE

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/TCSR7YFE6OAZKXSCBDVGNRLCBL \
  | 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: 98a51fe0a4f381955e4208ea66c5620afdef1034be1f36abb0216fd763a44edd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdde81597691bd304bcd54f4bf9f7b887ae663ecace526ac62e8d696b477687f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-13T13:48:47Z",
    "title_canon_sha256": "39aa1edd5d9a81f98851e9f88a1fc2c93af9ebd19883ed6df61bc0ce27593c47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2890",
    "kind": "arxiv",
    "version": 3
  }
}