Pith Number

pith:KBYUBVVX

pith:2018:KBYUBVVXL24O3FK2IHW4YM5RWY

not attested not anchored not stored refs pending

Optimal linear responses for Markov chains and stochastically perturbed dynamical systems

Davor Dragi\v{c}evi\'c, Fadi Antown, Gary Froyland

arxiv:1801.03234 v1 · 2018-01-10 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBYUBVVXL24O3FK2IHW4YM5RWY}

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	2026-05-18T00:19:21.761417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

507140d6b75eb8ed955a41edcc33b1b63154b820f50c825b9e94cd7efe2b0654

Aliases

arxiv: 1801.03234 · arxiv_version: 1801.03234v1 · doi: 10.48550/arxiv.1801.03234 · pith_short_12: KBYUBVVXL24O · pith_short_16: KBYUBVVXL24O3FK2 · pith_short_8: KBYUBVVX

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/KBYUBVVXL24O3FK2IHW4YM5RWY \
  | 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: 507140d6b75eb8ed955a41edcc33b1b63154b820f50c825b9e94cd7efe2b0654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a94e3844be6ca111b1ed5cc85dff3d7f80637ad1c396acb31ba685a55f0e5adc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-01-10T03:57:29Z",
    "title_canon_sha256": "b47a8159ab731f5e62ce59f12ac3774223e18de9ae2466c75eca49dd9663f0ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03234",
    "kind": "arxiv",
    "version": 1
  }
}