Pith Number

pith:4TQBPIII

pith:2010:4TQBPIIIPFEB3UEWZCCPEJIPJY

not attested not anchored not stored refs pending

An ODE for an Overloaded X Model Involving a Stochastic Averaging Principle

Ohad Perry, Ward Whitt

arxiv:1008.1289 v1 · 2010-08-06 · math.PR · cs.PF · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TQBPIIIPFEB3UEWZCCPEJIPJY}

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	2026-05-18T04:42:33.394998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e017a10879481dd096c884f2250f4e05b3ac68bad4a0c7f6642acb758fe683

Aliases

arxiv: 1008.1289 · arxiv_version: 1008.1289v1 · doi: 10.48550/arxiv.1008.1289 · pith_short_12: 4TQBPIIIPFEB · pith_short_16: 4TQBPIIIPFEB3UEW · pith_short_8: 4TQBPIII

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/4TQBPIIIPFEB3UEWZCCPEJIPJY \
  | 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: e4e017a10879481dd096c884f2250f4e05b3ac68bad4a0c7f6642acb758fe683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fab7d2f7082d79cb2dbb3dc2c104eecc602aec071eaa1e06fc21c5d68f9be38b",
    "cross_cats_sorted": [
      "cs.PF",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-06T23:05:24Z",
    "title_canon_sha256": "1cb5fdc7f712c038b9ef481ae52373f7cf86c39302c7d038e5ff703d57a62804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1289",
    "kind": "arxiv",
    "version": 1
  }
}