Pith Number

pith:JISAA2QB

pith:2013:JISAA2QBHRC6AAMFKVCKBZEEWS

not attested not anchored not stored refs pending

Fluid Limits for Bandwidth-Sharing Networks with Rate Constraints

Bert Zwart, Josh Reed, Maria Frolkova

arxiv:1301.4360 v2 · 2013-01-18 · math.PR · 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{JISAA2QBHRC6AAMFKVCKBZEEWS}

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	2026-05-18T03:28:05.103120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a24006a013c45e001855544a0e484b496d2f937b72ab9dc90f9922904d5bad7

Aliases

arxiv: 1301.4360 · arxiv_version: 1301.4360v2 · doi: 10.48550/arxiv.1301.4360 · pith_short_12: JISAA2QBHRC6 · pith_short_16: JISAA2QBHRC6AAMF · pith_short_8: JISAA2QB

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/JISAA2QBHRC6AAMFKVCKBZEEWS \
  | 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: 4a24006a013c45e001855544a0e484b496d2f937b72ab9dc90f9922904d5bad7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae3ec6f87adc57536a08ebe686a58e3615fa2e9a9ea5ce686a1365d68b81e931",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-18T12:05:06Z",
    "title_canon_sha256": "6343c6981d2484ccdcf57020a11f97086a1f2588a3f176471d8e3fc21b18def4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4360",
    "kind": "arxiv",
    "version": 2
  }
}