Pith Number

pith:MMFXL2J4

pith:2016:MMFXL2J4CCCJZRDCZVT2ZFBVJJ

not attested not anchored not stored refs pending

A Unified Framework for Analyzing Closed Queueing Networks in Bike Sharing Systems

Jing-Yu Ma, Quan-Lin Li, Rui-Na Fan

arxiv:1606.04805 v1 · 2016-06-05 · cs.PF · math.OC · 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{MMFXL2J4CCCJZRDCZVT2ZFBVJJ}

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	2026-05-18T01:12:23.326542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

630b75e93c10849cc462cd67ac94354a7890ce4f1f3d46d29f78e8f7e8bd6a60

Aliases

arxiv: 1606.04805 · arxiv_version: 1606.04805v1 · doi: 10.48550/arxiv.1606.04805 · pith_short_12: MMFXL2J4CCCJ · pith_short_16: MMFXL2J4CCCJZRDC · pith_short_8: MMFXL2J4

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/MMFXL2J4CCCJZRDCZVT2ZFBVJJ \
  | 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: 630b75e93c10849cc462cd67ac94354a7890ce4f1f3d46d29f78e8f7e8bd6a60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15b43a315898fd6c36075fd5f2cf8d7a691820d44d774c0e6ac4211dbd466a31",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PF",
    "submitted_at": "2016-06-05T12:20:09Z",
    "title_canon_sha256": "ed41fafa495632088ed2576049f38f2824192dfe85392a2bd57e18e82b20dec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04805",
    "kind": "arxiv",
    "version": 1
  }
}