Pith Number

pith:AQ3W36IN

pith:2011:AQ3W36INEMNG45FT2RE2QB7ESN

not attested not anchored not stored refs pending

Multiple-Source Multiple-Sink Maximum Flow in Directed Planar Graphs in Near-Linear Time

Christian Wulff-Nilsen, Glencora Borradaile, Philip N. Klein, Shay Mozes, Yahav Nussbaum

arxiv:1105.2228 v1 · 2011-05-11 · 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{AQ3W36INEMNG45FT2RE2QB7ESN}

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	2026-05-18T04:22:21.247753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04376df90d231a6e74b3d449a807e4934d278dbe22ed8f3812e0999680b4fa9e

Aliases

arxiv: 1105.2228 · arxiv_version: 1105.2228v1 · doi: 10.48550/arxiv.1105.2228 · pith_short_12: AQ3W36INEMNG · pith_short_16: AQ3W36INEMNG45FT · pith_short_8: AQ3W36IN

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/AQ3W36INEMNG45FT2RE2QB7ESN \
  | 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: 04376df90d231a6e74b3d449a807e4934d278dbe22ed8f3812e0999680b4fa9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfcf8c02535c08de0206220d3093c5f784b0db4716bcff914a8fcfbe23f1cf5a",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-05-11T15:56:42Z",
    "title_canon_sha256": "2a5c2cc56d2eb6667d33f09ff24d4efb6e8291dc7f4889b88dfbe8faae1b8c47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2228",
    "kind": "arxiv",
    "version": 1
  }
}