Pith. sign in
Pith Number

pith:W3CUPJTN

pith:2019:W3CUPJTNTCQGKANSVDD5EOTO3T
not attested not anchored not stored refs pending

Shorter Labeling Schemes for Planar Graphs

Cyril Gavoille (LaBRI), Marthe Bonamy (LaBRI), Michal Pilipczuk

arxiv:1908.03341 v2 · 2019-08-09 · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{W3CUPJTNTCQGKANSVDD5EOTO3T}

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 2026-07-05T00:55:45.355457Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b6c547a66d98a06501b2a8c7d23a6edcd3f403b51abd81aea60cc839b3bc23a0

Aliases

arxiv: 1908.03341 · arxiv_version: 1908.03341v2 · doi: 10.48550/arxiv.1908.03341 · pith_short_12: W3CUPJTNTCQG · pith_short_16: W3CUPJTNTCQGKANS · pith_short_8: W3CUPJTN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/W3CUPJTNTCQGKANSVDD5EOTO3T \
  | 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: b6c547a66d98a06501b2a8c7d23a6edcd3f403b51abd81aea60cc839b3bc23a0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8a2cd0b1c0558140d1bd336f7fd6177a0e7182b32fa69703d77b003be53f107a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-08-09T07:08:23Z",
    "title_canon_sha256": "32ffc439ae43f0d756a53675916bd71031fba3c51069af508dcd5f3ba4b7dbc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03341",
    "kind": "arxiv",
    "version": 2
  }
}