Pith Number

pith:QHIFVH4B

pith:2018:QHIFVH4B33T7IUXSCEVHLYOPBL

not attested not anchored not stored refs pending

Continuous approximation of $M_t/M_t/1$ distributions with application to production

Dieter Armbruster, Simone G\"ottlich, Stephan Knapp

arxiv:1807.07115 v2 · 2018-07-18 · 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{QHIFVH4B33T7IUXSCEVHLYOPBL}

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	2026-05-17T23:57:50.495886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81d05a9f81dee7f452f2112a75e1cf0aeb016d25aee7186f6fdb31574254ef59

Aliases

arxiv: 1807.07115 · arxiv_version: 1807.07115v2 · doi: 10.48550/arxiv.1807.07115 · pith_short_12: QHIFVH4B33T7 · pith_short_16: QHIFVH4B33T7IUXS · pith_short_8: QHIFVH4B

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/QHIFVH4B33T7IUXSCEVHLYOPBL \
  | 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: 81d05a9f81dee7f452f2112a75e1cf0aeb016d25aee7186f6fdb31574254ef59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fadcc3943c3d729e499576bce51fcd7aa508b48dda28c72f5565db1c26070a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-18T19:35:02Z",
    "title_canon_sha256": "825815bb6a360b242c48a0ed04d8823455092c937861ba17f11373943aea2584"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07115",
    "kind": "arxiv",
    "version": 2
  }
}