Pith Number

pith:OPTRZ5FQ

pith:2006:OPTRZ5FQ7Y2O4APJHGEIYIYXYR

not attested not anchored not stored refs pending

Perturbation Analysis of a Variable M/M/1 Queue: A Probabilistic Approach

Christine Fricker, Fabrice Guillemin (FT R&D), Nelson Antunes, Philippe Robert

arxiv:cs/0601015 v1 · 2006-01-06 · cs.NI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPTRZ5FQ7Y2O4APJHGEIYIYXYR}

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	2026-07-04T15:03:34.910850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e71cf4b0fe34ee01e939888c2317c46def34558ff2f1af475f484be55fac39

Aliases

arxiv: cs/0601015 · arxiv_version: cs/0601015v1 · doi: 10.48550/arxiv.cs/0601015 · pith_short_12: OPTRZ5FQ7Y2O · pith_short_16: OPTRZ5FQ7Y2O4APJ · pith_short_8: OPTRZ5FQ

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/OPTRZ5FQ7Y2O4APJHGEIYIYXYR \
  | 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: 73e71cf4b0fe34ee01e939888c2317c46def34558ff2f1af475f484be55fac39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "424e22f94f37dcb6c8267e4a57d5efdd060be97f849b1a6efdc4f10746fb90df",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.NI",
    "submitted_at": "2006-01-06T09:35:35Z",
    "title_canon_sha256": "a03e516934ce7fef59088dec4f6dcb04421bf9d6e611eb17f0d975d92357a02c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0601015",
    "kind": "arxiv",
    "version": 1
  }
}