Pith Number

pith:CBXKGVO5

pith:2013:CBXKGVO5AGCMOWCVCYMZJWALEL

not attested not anchored not stored refs pending

First passage times to congested states of many-server systems in the Halfin-Whitt regime

Brian H. Fralix, Charles Knessl, Johan S.H. van Leeuwaarden

arxiv:1302.3007 v1 · 2013-02-13 · 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{CBXKGVO5AGCMOWCVCYMZJWALEL}

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	2026-05-18T03:33:49.055811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

106ea355dd0184c75855161994d80b22c70402c703e2302eb5951ae680c9f3b0

Aliases

arxiv: 1302.3007 · arxiv_version: 1302.3007v1 · doi: 10.48550/arxiv.1302.3007 · pith_short_12: CBXKGVO5AGCM · pith_short_16: CBXKGVO5AGCMOWCV · pith_short_8: CBXKGVO5

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/CBXKGVO5AGCMOWCVCYMZJWALEL \
  | 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: 106ea355dd0184c75855161994d80b22c70402c703e2302eb5951ae680c9f3b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47f828240e293e7d2bef8c916d68b7ae76583d09f8b9aedba7e5f9f778e7b31c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-13T08:00:38Z",
    "title_canon_sha256": "a9c619169141f2b276f08aa4cf86c3079571eadfd576b3ad70d648bfc07bff93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3007",
    "kind": "arxiv",
    "version": 1
  }
}