Pith Number

pith:ZV4645VS

pith:2015:ZV4645VSAE5LP6WNGGHBRCNM5Y

not attested not anchored not stored refs pending

Minimum Cut of Directed Planar Graphs in O(nloglogn) Time

Cyril Nikolaev, Oren Weimann, Shay Mozes, Yahav Nussbaum

arxiv:1512.02068 v2 · 2015-12-07 · 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{ZV4645VSAE5LP6WNGGHBRCNM5Y}

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	2026-05-18T00:59:26.249810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd79ee76b2013ab7facd318e1889acee0ac22ffa8a7facf80a58fd5addf01e9c

Aliases

arxiv: 1512.02068 · arxiv_version: 1512.02068v2 · doi: 10.48550/arxiv.1512.02068 · pith_short_12: ZV4645VSAE5L · pith_short_16: ZV4645VSAE5LP6WN · pith_short_8: ZV4645VS

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/ZV4645VSAE5LP6WNGGHBRCNM5Y \
  | 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: cd79ee76b2013ab7facd318e1889acee0ac22ffa8a7facf80a58fd5addf01e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e104c03cefeff44878da00fc06f9d54edd058e20ba7048859b75a919404eea6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-12-07T14:37:39Z",
    "title_canon_sha256": "b204c009d0b9ff7253197ce7dc429d0168cd0f795c2a56d302c4f6b3d2e9b737"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02068",
    "kind": "arxiv",
    "version": 2
  }
}