Pith Number

pith:TOYP33JY

pith:2015:TOYP33JYS4VZ2656GQJFWKUENL

not attested not anchored not stored refs pending

A unified approach for large queue asymptotics in a heterogeneous multiserver queue

Masakiyo Miyazawa

arxiv:1510.01034 v6 · 2015-10-05 · 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{TOYP33JYS4VZ2656GQJFWKUENL}

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	2026-05-18T00:49:04.798633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bb0fded38972b9d7bbe34125b2a846ac4041e888de72bcecc3cca10cc6b1dc3

Aliases

arxiv: 1510.01034 · arxiv_version: 1510.01034v6 · doi: 10.48550/arxiv.1510.01034 · pith_short_12: TOYP33JYS4VZ · pith_short_16: TOYP33JYS4VZ2656 · pith_short_8: TOYP33JY

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/TOYP33JYS4VZ2656GQJFWKUENL \
  | 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: 9bb0fded38972b9d7bbe34125b2a846ac4041e888de72bcecc3cca10cc6b1dc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3dc3679d8cf9b69fa3ed2724aa98f7124394d1f733b6facb21862aa048b5aad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-05T05:49:14Z",
    "title_canon_sha256": "975a0e31c1103cd933cfecd5de5db70ff4c77e4c0a053150f664f8e95773ba5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01034",
    "kind": "arxiv",
    "version": 6
  }
}