Pith Number

pith:V2DYIWK7

pith:2015:V2DYIWK74YTUG4QM2KHFCAFMF5

not attested not anchored not stored refs pending

The M^X/M/c queue with state-dependent control at idle time and catastrophes

Junping Li, Lina Zhang

arxiv:1512.05033 v1 · 2015-12-16 · 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{V2DYIWK74YTUG4QM2KHFCAFMF5}

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	2026-05-18T01:24:13.690361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae8784595fe62743720cd28e5100ac2f7859c3521c017838caba6cc5628468c9

Aliases

arxiv: 1512.05033 · arxiv_version: 1512.05033v1 · doi: 10.48550/arxiv.1512.05033 · pith_short_12: V2DYIWK74YTU · pith_short_16: V2DYIWK74YTUG4QM · pith_short_8: V2DYIWK7

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/V2DYIWK74YTUG4QM2KHFCAFMF5 \
  | 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: ae8784595fe62743720cd28e5100ac2f7859c3521c017838caba6cc5628468c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3699f49a154f73ee6685e862ae33327a1ad8325713d61d2eeced13302a072bc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-16T02:47:01Z",
    "title_canon_sha256": "e3052d6915cbdff72183d59db4ba1a28007d2b92bfcc58d8faf0afe05c00edd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05033",
    "kind": "arxiv",
    "version": 1
  }
}