Pith Number

pith:DNZDC52M

pith:2010:DNZDC52M7JEUFGGU5ALPGAAHUU

not attested not anchored not stored refs pending

Min st-Cut Oracle for Planar Graphs with Near-Linear Preprocessing Time

Christian Wulff-Nilsen, Glencora Borradaile, Piotr Sankowski

arxiv:1003.1320 v4 · 2010-03-05 · 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{DNZDC52M7JEUFGGU5ALPGAAHUU}

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	2026-05-18T03:10:58.725460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b7231774cfa494298d4e816f30007a507902f01864ab09e2a203e1f6665c940

Aliases

arxiv: 1003.1320 · arxiv_version: 1003.1320v4 · doi: 10.48550/arxiv.1003.1320 · pith_short_12: DNZDC52M7JEU · pith_short_16: DNZDC52M7JEUFGGU · pith_short_8: DNZDC52M

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/DNZDC52M7JEUFGGU5ALPGAAHUU \
  | 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: 1b7231774cfa494298d4e816f30007a507902f01864ab09e2a203e1f6665c940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94c0525adf91bddab14bddd0c94e5da23caa6c32c469d162c0088f82cf03a178",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-03-05T17:43:56Z",
    "title_canon_sha256": "ea9647f5265ec2b63dfa04baea68d7a678a372ca5d4e3e23bacef45ffab70a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1320",
    "kind": "arxiv",
    "version": 4
  }
}