Pith Number

pith:FIKE7HC3

pith:2011:FIKE7HC3QFLZYK46WUFXUQQQEZ

not attested not anchored not stored refs pending

A Bound on the Variance of the Waiting Time in a Queueing System

Ben Gross, Nicholas Pippenger, Patrick Eschenfeldt

arxiv:1106.0074 v1 · 2011-06-01 · 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{FIKE7HC3QFLZYK46WUFXUQQQEZ}

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	2026-05-18T04:20:52.172969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a144f9c5b81579c2b9eb50b7a421026425ab61a4389831594796d60a8790b44

Aliases

arxiv: 1106.0074 · arxiv_version: 1106.0074v1 · doi: 10.48550/arxiv.1106.0074 · pith_short_12: FIKE7HC3QFLZ · pith_short_16: FIKE7HC3QFLZYK46 · pith_short_8: FIKE7HC3

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/FIKE7HC3QFLZYK46WUFXUQQQEZ \
  | 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: 2a144f9c5b81579c2b9eb50b7a421026425ab61a4389831594796d60a8790b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0318f46890c1ddb446156b2d4ff0b417dfe92d1b99f4e7b6ce6833f58dab47f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-01T01:26:47Z",
    "title_canon_sha256": "a9d737cad9f24d1b054092f25575d9b3c996a5ee894997fe0c840dda30c2df07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0074",
    "kind": "arxiv",
    "version": 1
  }
}