Pith Number

pith:P3F3AZCE

pith:2010:P3F3AZCEIDJS7ZGUVGEYI6LJMG

not attested not anchored not stored refs pending

Multiple source, single sink maximum flow in a planar graph

Christian Wulff-Nilsen, Glencora Borradaile

arxiv:1008.4966 v1 · 2010-08-29 · 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{P3F3AZCEIDJS7ZGUVGEYI6LJMG}

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	2026-05-18T04:41:27.124351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ecbb0644440d32fe4d4a98984796961baa19efcedd249166440a3adf7ef504a

Aliases

arxiv: 1008.4966 · arxiv_version: 1008.4966v1 · doi: 10.48550/arxiv.1008.4966 · pith_short_12: P3F3AZCEIDJS · pith_short_16: P3F3AZCEIDJS7ZGU · pith_short_8: P3F3AZCE

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/P3F3AZCEIDJS7ZGUVGEYI6LJMG \
  | 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: 7ecbb0644440d32fe4d4a98984796961baa19efcedd249166440a3adf7ef504a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98a150968905d2e90c9b779190418d7a6a63d0159ecf44b62fdd3b9a6a98ed20",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-08-29T22:25:00Z",
    "title_canon_sha256": "c40cc9d3a0fc26e04efe8258bf14e78ef85a32e9cc05b73818846d44096dd3e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4966",
    "kind": "arxiv",
    "version": 1
  }
}