pith. sign in
Pith Number

pith:4XSCWS6B

pith:2016:4XSCWS6BZCDDEDRVIVCPXGGU7D
not attested not anchored not stored refs pending

Linear Distances between Markov Chains

Jan K\v{r}et\'insk\'y, Przemys{\l}aw Daca, Tatjana Petrov, Thomas A. Henzinger

arxiv:1605.00186 v2 · 2016-04-30 · cs.FL

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4XSCWS6BZCDDEDRVIVCPXGGU7D}

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 2026-05-18T01:11:57.534088Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e5e42b4bc1c886320e354544fb98d4f8c8203d61c55279148d479f111fdefe3b

Aliases

arxiv: 1605.00186 · arxiv_version: 1605.00186v2 · doi: 10.48550/arxiv.1605.00186 · pith_short_12: 4XSCWS6BZCDD · pith_short_16: 4XSCWS6BZCDDEDRV · pith_short_8: 4XSCWS6B
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4XSCWS6BZCDDEDRVIVCPXGGU7D \
  | 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: e5e42b4bc1c886320e354544fb98d4f8c8203d61c55279148d479f111fdefe3b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f2d8a29622181a35f6f5cbe140191dcd4bdaa1bbc56caf793b777a759addf9de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2016-04-30T23:27:36Z",
    "title_canon_sha256": "6966d994da31b6666fb36b2aa750adbe17ae5723507dcc460b05fd6f405b235c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00186",
    "kind": "arxiv",
    "version": 2
  }
}