Pith Number

pith:LTDPRGME

pith:2012:LTDPRGMENLPINRSZR2FKZ75AJQ

not attested not anchored not stored refs pending

Using max-algebra linear models in the representation of queueing systems

Nikolai K. Krivulin

arxiv:1210.6019 v1 · 2012-10-22 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTDPRGMENLPINRSZR2FKZ75AJQ}

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	2026-05-18T03:42:34.479869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cc6f899846ade86c6598e8aacffa04c1a9cca7a3f40534bee0ba7724da93ec7

Aliases

arxiv: 1210.6019 · arxiv_version: 1210.6019v1 · doi: 10.48550/arxiv.1210.6019 · pith_short_12: LTDPRGMENLPI · pith_short_16: LTDPRGMENLPINRSZ · pith_short_8: LTDPRGME

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/LTDPRGMENLPINRSZR2FKZ75AJQ \
  | 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: 5cc6f899846ade86c6598e8aacffa04c1a9cca7a3f40534bee0ba7724da93ec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c0999749313394455473a84ddf89376fb646624249a8b81ffd5e7a9cb3b8c9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-10-22T19:52:00Z",
    "title_canon_sha256": "3c2ebaa2f691fd2c1d236a7690420575c57e5f8a3dd554e0a49682b9b19383f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6019",
    "kind": "arxiv",
    "version": 1
  }
}