Pith Number

pith:BHL6G4XY

pith:2012:BHL6G4XYVHRKIAYZBVN25JIUQE

not attested not anchored not stored refs pending

Recursive equations based models of queueing systems

Nikolai K. Krivulin

arxiv:1210.7445 v1 · 2012-10-28 · math.NA · 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{BHL6G4XYVHRKIAYZBVN25JIUQE}

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	2026-05-18T03:41:58.178808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09d7e372f8a9e2a403190d5baea514811478dfb3f0eb1b6d8c194bd06254deed

Aliases

arxiv: 1210.7445 · arxiv_version: 1210.7445v1 · doi: 10.48550/arxiv.1210.7445 · pith_short_12: BHL6G4XYVHRK · pith_short_16: BHL6G4XYVHRKIAYZ · pith_short_8: BHL6G4XY

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/BHL6G4XYVHRKIAYZBVN25JIUQE \
  | 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: 09d7e372f8a9e2a403190d5baea514811478dfb3f0eb1b6d8c194bd06254deed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dad89a2ac7b757eae948923c42ef2e43c621d0c0f149eeb8e44f304a6f3f0d7a",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-10-28T11:37:52Z",
    "title_canon_sha256": "d6f63612a152053e775a002b176386e45cc60b97232fee4e37c0244453191f82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7445",
    "kind": "arxiv",
    "version": 1
  }
}