Pith Number

pith:CTJ3VDAH

pith:2015:CTJ3VDAH5ZWNS6LEBT4FAZERVI

not attested not anchored not stored refs pending

Exact sampling for some multi-dimensional queueing models with renewal input

Jose Blanchet, Karl Sigman, Yanan Pei

arxiv:1512.07284 v3 · 2015-12-22 · 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{CTJ3VDAH5ZWNS6LEBT4FAZERVI}

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	2026-05-17T23:44:10.546665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14d3ba8c07ee6cd979640cf8506491aa256ab43d94afe065150f5c22a96b6df5

Aliases

arxiv: 1512.07284 · arxiv_version: 1512.07284v3 · doi: 10.48550/arxiv.1512.07284 · pith_short_12: CTJ3VDAH5ZWN · pith_short_16: CTJ3VDAH5ZWNS6LE · pith_short_8: CTJ3VDAH

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/CTJ3VDAH5ZWNS6LEBT4FAZERVI \
  | 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: 14d3ba8c07ee6cd979640cf8506491aa256ab43d94afe065150f5c22a96b6df5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91d157c0450462d17ade878b750dabf555d7639c90bd2054c9ef103d9a42a57e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-22T22:30:11Z",
    "title_canon_sha256": "5c42d3ddada48af8b503da62bf91761f1e3b56c271c28f56b46b169ab9083077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07284",
    "kind": "arxiv",
    "version": 3
  }
}