Pith Number

pith:Q3ZHDKZ5

pith:2019:Q3ZHDKZ5Q34EPKFJCMVUMI5BIY

not attested not anchored not stored refs pending

On the Djokovi\'c-Winkler relation and its closure in subdivisions of fullerenes, triangulations, and chordal graphs

Kolja Knauer, Sandi Klav\v{z}ar, Tilen Marc

arxiv:1906.06111 v2 · 2019-06-14 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3ZHDKZ5Q34EPKFJCMVUMI5BIY}

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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.

Cited by

1 paper in Pith

Minimal Isometric Embeddings of Graphs into Abelian Groups: Theory, Algorithms, and Applications to Signal Processing over Networks

Receipt and verification

First computed	2026-07-05T01:26:48.706446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86f271ab3d86f847a8a9132b4623a1462c2ba8726a3b585d8c5204a84ca62d32

Aliases

arxiv: 1906.06111 · arxiv_version: 1906.06111v2 · doi: 10.48550/arxiv.1906.06111 · pith_short_12: Q3ZHDKZ5Q34E · pith_short_16: Q3ZHDKZ5Q34EPKFJ · pith_short_8: Q3ZHDKZ5

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/Q3ZHDKZ5Q34EPKFJCMVUMI5BIY \
  | 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: 86f271ab3d86f847a8a9132b4623a1462c2ba8726a3b585d8c5204a84ca62d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3e08438533f586445c5a16d6307401375a65a2b56907107609dd8594ab3de40",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-14T10:15:27Z",
    "title_canon_sha256": "6b6334bc4abbf62ca31bb567f3d297b2c2e588f9bbca372a1a70edaf520dbd49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06111",
    "kind": "arxiv",
    "version": 2
  }
}