Pith Number

pith:EOZXFJHU

pith:2014:EOZXFJHUYT3BV6X7LRPGI5GUMP

not attested not anchored not stored refs pending

Sharp entrywise perturbation bounds for Markov chains

Brian Van Koten, Erik Thiede, Jonathan Weare

arxiv:1410.1431 v2 · 2014-10-06 · math.NA · 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{EOZXFJHUYT3BV6X7LRPGI5GUMP}

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	2026-05-18T01:30:43.252421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23b372a4f4c4f61afaff5c5e6474d463d9d4f6a2af3c2dd98b05d0f33a3be664

Aliases

arxiv: 1410.1431 · arxiv_version: 1410.1431v2 · doi: 10.48550/arxiv.1410.1431 · pith_short_12: EOZXFJHUYT3B · pith_short_16: EOZXFJHUYT3BV6X7 · pith_short_8: EOZXFJHU

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/EOZXFJHUYT3BV6X7LRPGI5GUMP \
  | 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: 23b372a4f4c4f61afaff5c5e6474d463d9d4f6a2af3c2dd98b05d0f33a3be664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "043f17d05a008859a971717b5f006494c14ca281b45df9559071a5892bbfb67e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-10-06T16:08:01Z",
    "title_canon_sha256": "5e622811debc96240fb619348c3d2ec63da033fa3c0cb3a8b9e0751c2457bd09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1431",
    "kind": "arxiv",
    "version": 2
  }
}