Pith Number

pith:UY4G6SZZ

pith:2012:UY4G6SZZCYE4SN3OM7THJME653

not attested not anchored not stored refs pending

Combinatorial and Geometric Properties of Planar Laman Graphs

Kevin Verbeek, Stephen Kobourov, Torsten Ueckerdt

arxiv:1209.6506 v1 · 2012-09-28 · math.CO · 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{UY4G6SZZCYE4SN3OM7THJME653}

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	2026-05-18T03:44:25.283767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6386f4b391609c9376e67e674b09eeefd18642cf938c9e14123d1341dda1769

Aliases

arxiv: 1209.6506 · arxiv_version: 1209.6506v1 · doi: 10.48550/arxiv.1209.6506 · pith_short_12: UY4G6SZZCYE4 · pith_short_16: UY4G6SZZCYE4SN3O · pith_short_8: UY4G6SZZ

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/UY4G6SZZCYE4SN3OM7THJME653 \
  | 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: a6386f4b391609c9376e67e674b09eeefd18642cf938c9e14123d1341dda1769

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6fc3e6ccb90f021d61a934431198d1e64b0412f8c79bb8040d244473685750c",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-28T12:58:54Z",
    "title_canon_sha256": "351c94781b6633587d0720808504189843cfd17d6cfa0b5ba239384aac710811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6506",
    "kind": "arxiv",
    "version": 1
  }
}