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Pith Number

pith:FOEECNUC

pith:2014:FOEECNUCADM36XKOLDVGVLYDRJ
not attested not anchored not stored refs pending

Insensitivity of Proportional Fairness in Critically Loaded Bandwidth Sharing Networks

Bert Zwart, Jiheng Zhang, Maria Vlasiou

arxiv:1411.4841 v2 · 2014-11-18 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FOEECNUCADM36XKOLDVGVLYDRJ}

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 2026-05-18T01:46:13.899063Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2b8841368200d9bf5d4e58ea6aaf038a7a1fe9abda29003e1875323d4eace58f

Aliases

arxiv: 1411.4841 · arxiv_version: 1411.4841v2 · doi: 10.48550/arxiv.1411.4841 · pith_short_12: FOEECNUCADM3 · pith_short_16: FOEECNUCADM36XKO · pith_short_8: FOEECNUC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FOEECNUCADM36XKOLDVGVLYDRJ \
  | 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: 2b8841368200d9bf5d4e58ea6aaf038a7a1fe9abda29003e1875323d4eace58f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "721ad9cc844fcdcab8da5e25bfe523bb8ebe1a052e6415c378fae59101f54198",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-11-18T13:48:18Z",
    "title_canon_sha256": "e2acd372c3d4b49cfc64ade6da1206a70e4ee993c5eac227c4d3e057c88905a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4841",
    "kind": "arxiv",
    "version": 2
  }
}