Pith Number

pith:6VFBYS3R

pith:2012:6VFBYS3R7N36OORVGGV26PV7TY

not attested not anchored not stored refs pending

Structured Recursive Separator Decompositions for Planar Graphs in Linear Time

Christian Sommer, Philip N. Klein, Shay Mozes

arxiv:1208.2223 v3 · 2012-08-10 · cs.DM · cs.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VFBYS3R7N36OORVGGV26PV7TY}

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	2026-05-18T03:25:26.111288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f54a1c4b71fb77e73a3531abaf3ebf9e04305cc5b703af377341538e5d4704cd

Aliases

arxiv: 1208.2223 · arxiv_version: 1208.2223v3 · doi: 10.48550/arxiv.1208.2223 · pith_short_12: 6VFBYS3R7N36 · pith_short_16: 6VFBYS3R7N36OORV · pith_short_8: 6VFBYS3R

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/6VFBYS3R7N36OORVGGV26PV7TY \
  | 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: f54a1c4b71fb77e73a3531abaf3ebf9e04305cc5b703af377341538e5d4704cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2acceef309bf74058de3b4157b191b95a4f40fabb36fdfb62315c68fcdcdef61",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-08-10T17:16:53Z",
    "title_canon_sha256": "de3357e872211175110824f01368d2f9efcaa5b9bffae7362b8b67662cecbac5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2223",
    "kind": "arxiv",
    "version": 3
  }
}