Pith Number

pith:5QLNWQTB

pith:2019:5QLNWQTB4YFPC6JOSZ6PVDFRUF

not attested not anchored not stored refs pending

Covering graphs with convex sets and partitioning graphs into convex sets

Luc\'ia M. Gonz\'alez, Luciano N. Grippo, Mart\'in D. Safe, Vin\'icius F. dos Santos

arxiv:1907.01581 v1 · 2019-07-02 · 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{5QLNWQTB4YFPC6JOSZ6PVDFRUF}

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	2026-05-17T23:41:35.891292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec16db4261e60af1792e967cfa8cb1a14f948e86c257c7cc1b12949729e7b537

Aliases

arxiv: 1907.01581 · arxiv_version: 1907.01581v1 · doi: 10.48550/arxiv.1907.01581 · pith_short_12: 5QLNWQTB4YFP · pith_short_16: 5QLNWQTB4YFPC6JO · pith_short_8: 5QLNWQTB

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/5QLNWQTB4YFPC6JOSZ6PVDFRUF \
  | 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: ec16db4261e60af1792e967cfa8cb1a14f948e86c257c7cc1b12949729e7b537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c8e7e95d0a698edcc412cedc63b2fbcb35782a7428ef435304fe8ad394df850",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-02T18:37:58Z",
    "title_canon_sha256": "17da09ff0f71d72dc83fc0ebe8da5fb6fa1f8fedf07a64faffd3e0ef038314b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01581",
    "kind": "arxiv",
    "version": 1
  }
}