Pith Number

pith:WD3RVAIP

pith:2010:WD3RVAIPSWCSUMEVBOJD26Y7IB

not attested not anchored not stored refs pending

Min st-Cut of a Planar Graph in O(n loglog n) Time

Christian Wulff-Nilsen

arxiv:1007.3609 v2 · 2010-07-21 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WD3RVAIPSWCSUMEVBOJD26Y7IB}

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	2026-05-18T04:39:49.188030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f71a810f95852a30950b923d7b1f40649e5053ed0cb67676cc9557e3b2eb57

Aliases

arxiv: 1007.3609 · arxiv_version: 1007.3609v2 · doi: 10.48550/arxiv.1007.3609 · pith_short_12: WD3RVAIPSWCS · pith_short_16: WD3RVAIPSWCSUMEV · pith_short_8: WD3RVAIP

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/WD3RVAIPSWCSUMEVBOJD26Y7IB \
  | 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: b0f71a810f95852a30950b923d7b1f40649e5053ed0cb67676cc9557e3b2eb57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6013c39ee7ecf26ae3cac88e49d05c09c5921d1fc150c77b938a7dba4acae1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-07-21T10:39:53Z",
    "title_canon_sha256": "346a0642541b90ff6999c1f805326d2924c0f08240dbf7a6eb149e7b9ff2bbc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3609",
    "kind": "arxiv",
    "version": 2
  }
}