Pith Number

pith:42SMWMHS

pith:2008:42SMWMHS3G5GQJZI5EQCPBJK3L

not attested not anchored not stored refs pending

Untangling planar graphs from a specified vertex position - Hard cases

Alexander Ravsky, Mathias Schacht, Mihyun Kang, Oleg Pikhurko, Oleg Verbitsky

arxiv:0803.0858 v5 · 2008-03-06 · cs.DM · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42SMWMHS3G5GQJZI5EQCPBJK3L}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:21:51.870702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6a4cb30f2d9ba682728e92027852adaff90c5f5fb13ff0780139be1c8535a86

Aliases

arxiv: 0803.0858 · arxiv_version: 0803.0858v5 · doi: 10.48550/arxiv.0803.0858 · pith_short_12: 42SMWMHS3G5G · pith_short_16: 42SMWMHS3G5GQJZI · pith_short_8: 42SMWMHS

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/42SMWMHS3G5GQJZI5EQCPBJK3L \
  | 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: e6a4cb30f2d9ba682728e92027852adaff90c5f5fb13ff0780139be1c8535a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59784f96a6f2486b021477fbc11bd8b9bfedcc3c90a4713e6ef54055327e8fda",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2008-03-06T13:08:41Z",
    "title_canon_sha256": "c957781a8a8b92058589a1fa90780e40a99623ca0f7f8fa962bfe37f3d65e734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.0858",
    "kind": "arxiv",
    "version": 5
  }
}