Pith Number

pith:AUZRV6WZ

pith:2010:AUZRV6WZS6JZSESSOZFMTBTW4Q

not attested not anchored not stored refs pending

Random-Time, State-Dependent Stochastic Drift for Markov Chains and Application to Stochastic Stabilization Over Erasure Channels

Sean P. Meyn, Serdar Y\"uksel

arxiv:1010.4820 v3 · 2010-10-22 · math.OC · cs.IT · cs.SY · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUZRV6WZS6JZSESSOZFMTBTW4Q}

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	2026-05-18T03:55:25.048878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05331afad99793991252764ac98676e40307b5a0cdeb0b20dcbb71c7f739a14f

Aliases

arxiv: 1010.4820 · arxiv_version: 1010.4820v3 · doi: 10.48550/arxiv.1010.4820 · pith_short_12: AUZRV6WZS6JZ · pith_short_16: AUZRV6WZS6JZSESS · pith_short_8: AUZRV6WZ

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/AUZRV6WZS6JZSESSOZFMTBTW4Q \
  | 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: 05331afad99793991252764ac98676e40307b5a0cdeb0b20dcbb71c7f739a14f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a857f8f908774598a13777ea6ec9b3e545ea22fca759d2d887a43e2d6b72b32e",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.SY",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-10-22T22:15:19Z",
    "title_canon_sha256": "5b84482cb5e668de5d1bfdb90626342627989a313b870c1ed39b3a3d8e4f6d83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4820",
    "kind": "arxiv",
    "version": 3
  }
}