Pith Number

pith:R6XOJOT3

pith:2014:R6XOJOT345TIKSBIY2J36LJALE

not attested not anchored not stored refs pending

Many-server heavy-traffic limit for queues with time-varying parameters

Ward Whitt, Yunan Liu

arxiv:1401.3933 v1 · 2014-01-16 · 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{R6XOJOT345TIKSBIY2J36LJALE}

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	2026-05-18T03:01:57.753228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8faee4ba7be766854828c693bf2d205923f715975f95acaba729d087545f296c

Aliases

arxiv: 1401.3933 · arxiv_version: 1401.3933v1 · doi: 10.48550/arxiv.1401.3933 · pith_short_12: R6XOJOT345TI · pith_short_16: R6XOJOT345TIKSBI · pith_short_8: R6XOJOT3

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/R6XOJOT345TIKSBIY2J36LJALE \
  | 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: 8faee4ba7be766854828c693bf2d205923f715975f95acaba729d087545f296c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b12eb7b0b82ac866b3198a457a2b0b23129f117d1db988a902c54968c6c7711c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-16T08:47:11Z",
    "title_canon_sha256": "863fe6678c0236cc0a09e33f8f7fad80218fae7840a0887a5566b0d6bc6eaf87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3933",
    "kind": "arxiv",
    "version": 1
  }
}