Pith Number

pith:37NN3XK6

pith:2015:37NN3XK6S7DEDSHYNPBNNFOUR2

not attested not anchored not stored refs pending

Editing to a Planar Graph of Given Degrees

Daniel Paulusma, Dimitrios M. Thilikos, Konrad K. Dabrowski, Petr A. Golovach, Pim van 't Hof

arxiv:1508.02773 v1 · 2015-08-11 · cs.DS · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37NN3XK6S7DEDSHYNPBNNFOUR2}

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	2026-05-18T01:35:26.211712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfdadddd5e97c641c8f86bc2d695d48e9dfdb7cded366001688372cb9bcfd4c8

Aliases

arxiv: 1508.02773 · arxiv_version: 1508.02773v1 · doi: 10.48550/arxiv.1508.02773 · pith_short_12: 37NN3XK6S7DE · pith_short_16: 37NN3XK6S7DEDSHY · pith_short_8: 37NN3XK6

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/37NN3XK6S7DEDSHYNPBNNFOUR2 \
  | 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: dfdadddd5e97c641c8f86bc2d695d48e9dfdb7cded366001688372cb9bcfd4c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0791be6bfcb4c5edf967273f37eeb4988d4c81e7c004aae669d8cc9ebc53713f",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-08-11T23:30:20Z",
    "title_canon_sha256": "ed362a164175628e53b4c91d8b723c82ef9164cacb30143226f2b2d71cfba31a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02773",
    "kind": "arxiv",
    "version": 1
  }
}