Pith Number

pith:QSPTT4H5

pith:2026:QSPTT4H54YJ7T4EEWJB5HGTRGK

not attested not anchored not stored refs pending

Improved Domination--Packing Bounds in Claw-Free Cubic Graphs and Unit Disk Graphs

Juan Guti\'errez, Kaustav Paul

arxiv:2606.29199 v1 · 2026-06-28 · 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{QSPTT4H54YJ7T4EEWJB5HGTRGK}

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	2026-06-30T01:17:56.898110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

849f39f0fde613f9f084b243d39a7132a4831cdf5367e7badb499e7b15495405

Aliases

arxiv: 2606.29199 · arxiv_version: 2606.29199v1 · doi: 10.48550/arxiv.2606.29199 · pith_short_12: QSPTT4H54YJ7 · pith_short_16: QSPTT4H54YJ7T4EE · pith_short_8: QSPTT4H5

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/QSPTT4H54YJ7T4EEWJB5HGTRGK \
  | 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: 849f39f0fde613f9f084b243d39a7132a4831cdf5367e7badb499e7b15495405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4f5609acc6a3bca35d09602a7852595d3781495c8e097e2c327704c42727951",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-28T04:58:55Z",
    "title_canon_sha256": "3a09290a431fe90b552d3deb1730b17622d0a878fafb3a531f6b6db20e32b96c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29199",
    "kind": "arxiv",
    "version": 1
  }
}