Pith Number

pith:XPLCWD3F

pith:2013:XPLCWD3FTJC4BRZST52MJ3CVBM

not attested not anchored not stored refs pending

Dichotomies properties on computational complexity of S-packing coloring problems

Nicolas Gastineau

arxiv:1312.5280 v3 · 2013-12-18 · cs.DM · cs.CC · 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{XPLCWD3FTJC4BRZST52MJ3CVBM}

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	2026-05-18T02:28:23.224457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd62b0f659a45c0c7329f74c4ec550b023f70a7f4332eef88bea2d01a48276c

Aliases

arxiv: 1312.5280 · arxiv_version: 1312.5280v3 · doi: 10.48550/arxiv.1312.5280 · pith_short_12: XPLCWD3FTJC4 · pith_short_16: XPLCWD3FTJC4BRZS · pith_short_8: XPLCWD3F

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/XPLCWD3FTJC4BRZST52MJ3CVBM \
  | 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: bbd62b0f659a45c0c7329f74c4ec550b023f70a7f4332eef88bea2d01a48276c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f6ce09bcc20ac95ec7dd9c273804db0734a58b1efacc1792ca262ea25ff344",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-12-18T19:28:43Z",
    "title_canon_sha256": "9c8cb60fd33f9627649b99ccdfbc927b87f496f1d1d3e88c91ac7aeee4c91221"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5280",
    "kind": "arxiv",
    "version": 3
  }
}