Pith Number

pith:FFZAV3VV

pith:2012:FFZAV3VV56BCGJ2SXQE4PY2U7Q

not attested not anchored not stored refs pending

Closed queueing networks under congestion: non-bottleneck independence and bottleneck convergence

Bernardo D'Auria, Jonatha Anselmi, Neil Walton

arxiv:1207.0382 v3 · 2012-07-02 · 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{FFZAV3VV56BCGJ2SXQE4PY2U7Q}

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	2026-05-18T02:54:30.922700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29720aeeb5ef82232752bc09c7e354fc0a281cadfab982c5f46a9d7226c184e0

Aliases

arxiv: 1207.0382 · arxiv_version: 1207.0382v3 · doi: 10.48550/arxiv.1207.0382 · pith_short_12: FFZAV3VV56BC · pith_short_16: FFZAV3VV56BCGJ2S · pith_short_8: FFZAV3VV

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/FFZAV3VV56BCGJ2SXQE4PY2U7Q \
  | 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: 29720aeeb5ef82232752bc09c7e354fc0a281cadfab982c5f46a9d7226c184e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf19c7b28e7fa66f4121c0e3c4a0e0e63d9879f0600f7bb0d7585d468962e086",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-02T13:45:57Z",
    "title_canon_sha256": "7702a305e441bf41be90f41e309388e5cb6ed0b1931d7328800b5e6076e8dadb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0382",
    "kind": "arxiv",
    "version": 3
  }
}