Pith Number

pith:VKLHY55N

pith:2014:VKLHY55NWOGSRMVVH2H2A6FTMG

not attested not anchored not stored refs pending

Weak Unit Disk and Interval Representation of Planar Graphs

Jackson Toeniskoetter, Md. Jawaherul Alam, Sergey Pupyrev, Stephen G. Kobourov

arxiv:1408.6928 v1 · 2014-08-29 · cs.DM · cs.CG · 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{VKLHY55NWOGSRMVVH2H2A6FTMG}

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	2026-05-18T02:43:59.996037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa967c77adb38d28b2b53e8fa078b361b6dea721d287417f2650844bae0962b9

Aliases

arxiv: 1408.6928 · arxiv_version: 1408.6928v1 · doi: 10.48550/arxiv.1408.6928 · pith_short_12: VKLHY55NWOGS · pith_short_16: VKLHY55NWOGSRMVV · pith_short_8: VKLHY55N

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/VKLHY55NWOGSRMVVH2H2A6FTMG \
  | 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: aa967c77adb38d28b2b53e8fa078b361b6dea721d287417f2650844bae0962b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9232b8ef6098a1097d6a53b82af8321d4725d42da8c7405a9364fc5df1456d28",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-08-29T06:10:45Z",
    "title_canon_sha256": "456d5d0fde93368683c9535ed7b33133a5b29d2fac91d09721d8368c8a8d11a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6928",
    "kind": "arxiv",
    "version": 1
  }
}