Pith Number

pith:ON5VFVUG

pith:2017:ON5VFVUGE6EI6HTL2KUWYEBGMJ

not attested not anchored not stored refs pending

A Nonlinear Solution to Closed Queueing Networks for Bike Sharing Systems with Markovian Arrival Processes and under an Irreducible Path Graph

Quan-Lin Li, Rui-Na Fan, Zhi-Yong Qian

arxiv:1707.07551 v1 · 2017-07-21 · math.PR · cs.PF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ON5VFVUGE6EI6HTL2KUWYEBGMJ}

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	2026-05-18T00:39:41.898627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

737b52d68627888f1e6bd2a96c1026624ba58d8263104cb99b3cca8979442879

Aliases

arxiv: 1707.07551 · arxiv_version: 1707.07551v1 · doi: 10.48550/arxiv.1707.07551 · pith_short_12: ON5VFVUGE6EI · pith_short_16: ON5VFVUGE6EI6HTL · pith_short_8: ON5VFVUG

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/ON5VFVUGE6EI6HTL2KUWYEBGMJ \
  | 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: 737b52d68627888f1e6bd2a96c1026624ba58d8263104cb99b3cca8979442879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db5aeef4fa4633c209c69ece56e398a3c36ab219604bbf2b7d56cf8106d8290c",
    "cross_cats_sorted": [
      "cs.PF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-21T10:11:10Z",
    "title_canon_sha256": "448571f322e0b726bd69944adc5d233dea319f6d35ee7510b959db5eac2adab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07551",
    "kind": "arxiv",
    "version": 1
  }
}