Pith Number

pith:W7GPBLGX

pith:2016:W7GPBLGXEI4OBBOGS2DKY2LE4E

not attested not anchored not stored refs pending

A Generalized Fundamental Matrix for Computing Fundamental Quantities of Markov Systems

Li Xia, Peter W. Glynn

arxiv:1604.04343 v2 · 2016-04-15 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7GPBLGXEI4OBBOGS2DKY2LE4E}

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	2026-05-18T01:16:24.028391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7ccf0acd72238e085c69686ac6964e10177f4dd2848a8b5ff04fb0da3ecc579

Aliases

arxiv: 1604.04343 · arxiv_version: 1604.04343v2 · doi: 10.48550/arxiv.1604.04343 · pith_short_12: W7GPBLGXEI4O · pith_short_16: W7GPBLGXEI4OBBOG · pith_short_8: W7GPBLGX

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/W7GPBLGXEI4OBBOGS2DKY2LE4E \
  | 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: b7ccf0acd72238e085c69686ac6964e10177f4dd2848a8b5ff04fb0da3ecc579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89d0759b0bbc13cde8eb79214ba121f7a8c49fe501680674f5e3cf12e9500c9a",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-04-15T03:25:16Z",
    "title_canon_sha256": "e9df25bf70294f486d3203ee15c4d9afead164c38a26655dccd6158eb3891a43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04343",
    "kind": "arxiv",
    "version": 2
  }
}