Pith Number

pith:5CLTZZDE

pith:2024:5CLTZZDEWOWGK4VHVLBSLAD563

not attested not anchored not stored refs pending

Open Packing in Graphs: Bounds and Complexity

M. A. Shalu, V. K. Kirubakaran

arxiv:2406.06982 v2 · 2024-06-11 · cs.DM · 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{5CLTZZDEWOWGK4VHVLBSLAD563}

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.

Cited by

1 paper in Pith

Spectral bounds for distance coloring and packing parameters of graphs via semidefinite programming

Receipt and verification

First computed	2026-07-05T08:43:10.729231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8973ce464b3ac6572a7aac325807df6c386cf71c97a4f994f1bbeeedf1b1d41

Aliases

arxiv: 2406.06982 · arxiv_version: 2406.06982v2 · doi: 10.48550/arxiv.2406.06982 · pith_short_12: 5CLTZZDEWOWG · pith_short_16: 5CLTZZDEWOWGK4VH · pith_short_8: 5CLTZZDE

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/5CLTZZDEWOWGK4VHVLBSLAD563 \
  | 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: e8973ce464b3ac6572a7aac325807df6c386cf71c97a4f994f1bbeeedf1b1d41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c789a3b2972317ab33e13f8fa579a662fae7b26e6d02fb4fe8bad3d77c7ba032",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2024-06-11T06:25:41Z",
    "title_canon_sha256": "b141dd96fa9667cd6c8944e7fc13c9ed5e6fead38e442e4739249ec18fd821b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.06982",
    "kind": "arxiv",
    "version": 2
  }
}