Pith Number

pith:2HN22543

pith:2021:2HN225436K4SBS7WT2VIFZDVJ2

not attested not anchored not stored refs pending

Cutoff for non-negatively curved Markov chains

Justin Salez

arxiv:2102.05597 v2 · 2021-02-10 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HN225436K4SBS7WT2VIFZDVJ2}

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.

Cited by

1 paper in Pith

Retention Profiles and KL Contraction Bounds in Finite Markov Chains

Receipt and verification

First computed	2026-07-05T02:18:59.962662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1dbad779bf2b920cbf69eaa82e4754ea541b2a1acb56189ef2c88f213227ee3

Aliases

arxiv: 2102.05597 · arxiv_version: 2102.05597v2 · doi: 10.48550/arxiv.2102.05597 · pith_short_12: 2HN225436K4S · pith_short_16: 2HN225436K4SBS7W · pith_short_8: 2HN22543

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/2HN225436K4SBS7WT2VIFZDVJ2 \
  | 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: d1dbad779bf2b920cbf69eaa82e4754ea541b2a1acb56189ef2c88f213227ee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71ec1e5181de064b6e5f190464b3f9bee0f502853d235adb745cc94583436822",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-02-10T17:52:33Z",
    "title_canon_sha256": "975ee791eaeae6943daf89211009e0ef06d2c35ea67e132e5b718d5f0ba182a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.05597",
    "kind": "arxiv",
    "version": 2
  }
}