Pith Number

pith:PUZVZB3X

pith:2015:PUZVZB3XWNNQ6EYNPWOKVJNZJX

not attested not anchored not stored refs pending

On kernel estimators of density for reversible Markov chains

Hailin Sang, Magda Peligrad, Martial Longla

arxiv:1503.05987 v1 · 2015-03-20 · 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{PUZVZB3XWNNQ6EYNPWOKVJNZJX}

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	2026-05-18T02:20:48.976379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d335c8777b35b0f130d7d9caaa5b94de4c85673087a1057fe7c040d99aa301e

Aliases

arxiv: 1503.05987 · arxiv_version: 1503.05987v1 · doi: 10.48550/arxiv.1503.05987 · pith_short_12: PUZVZB3XWNNQ · pith_short_16: PUZVZB3XWNNQ6EYN · pith_short_8: PUZVZB3X

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/PUZVZB3XWNNQ6EYNPWOKVJNZJX \
  | 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: 7d335c8777b35b0f130d7d9caaa5b94de4c85673087a1057fe7c040d99aa301e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "211f9b6bf159a642ed1eb6da911deac6ef1ad17dd17c7035c95e326490ba416d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-20T04:33:22Z",
    "title_canon_sha256": "b2c4c90d1b09ea07f7080211502bd7b6b419f2dce949278a94bbd6828b511065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05987",
    "kind": "arxiv",
    "version": 1
  }
}