Pith Number

pith:VRJRAB5C

pith:2010:VRJRAB5CNFY7CAGIMB2WZ7TWPM

not attested not anchored not stored refs pending

Multiple-Source Multiple-Sink Maximum Flow in Directed Planar Graphs in $O(n^{1.5} \log n)$ Time

Shay Mozes

arxiv:1012.5870 v1 · 2010-12-29 · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRJRAB5CNFY7CAGIMB2WZ7TWPM}

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	2026-05-18T04:32:21.280585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac531007a26971f100c860756cfe767b3d6fd6b6e3aafd90cc24a9b5e9ac7645

Aliases

arxiv: 1012.5870 · arxiv_version: 1012.5870v1 · doi: 10.48550/arxiv.1012.5870 · pith_short_12: VRJRAB5CNFY7 · pith_short_16: VRJRAB5CNFY7CAGI · pith_short_8: VRJRAB5C

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/VRJRAB5CNFY7CAGIMB2WZ7TWPM \
  | 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: ac531007a26971f100c860756cfe767b3d6fd6b6e3aafd90cc24a9b5e9ac7645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6afe7d11a610a45c949f4e4b31ef3ec3a6ac9c6423e418f868fcd30ac841f5e6",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-12-29T04:53:17Z",
    "title_canon_sha256": "2716e3c6171c993775694078f72cd1d80bcdc20bdca9463d76d02f526ec8d855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5870",
    "kind": "arxiv",
    "version": 1
  }
}