Pith Number

pith:JQ4JGYVC

pith:2010:JQ4JGYVCGVIPBEOGM7ISZEY7EO

not attested not anchored not stored refs pending

Multiple-source single-sink maximum flow in directed planar graphs in $O(n^{1.5} \log n)$ time

Philip N. Klein, Shay Mozes

arxiv:1008.5332 v2 · 2010-08-31 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQ4JGYVCGVIPBEOGM7ISZEY7EO}

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	2026-05-18T04:40:56.995672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c389362a23550f091c667d12c931f2386a76e6adf3cc54dc1f615a2730f4a64

Aliases

arxiv: 1008.5332 · arxiv_version: 1008.5332v2 · doi: 10.48550/arxiv.1008.5332 · pith_short_12: JQ4JGYVCGVIP · pith_short_16: JQ4JGYVCGVIPBEOG · pith_short_8: JQ4JGYVC

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/JQ4JGYVCGVIPBEOGM7ISZEY7EO \
  | 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: 4c389362a23550f091c667d12c931f2386a76e6adf3cc54dc1f615a2730f4a64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1200ad7c26859dfd15d0a7293f9cf0bdf8a7e450bcd95d8ae2f92c4113e26e74",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-08-31T14:47:35Z",
    "title_canon_sha256": "54b9742223cd7f45bb99f4eaac137654f1afd1adb6cbc133f1ae3897780d350c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5332",
    "kind": "arxiv",
    "version": 2
  }
}