Pith Number

pith:HWDJJGMP

pith:2017:HWDJJGMPNDFNJBIMY264IIE63A

not attested not anchored not stored refs pending

Packing chromatic number versus chromatic and clique number

Bo\v{s}tjan Bre\v{s}ar, Douglas F. Rall, Kirsti Wash, Sandi Klav\v{z}ar

arxiv:1707.04910 v1 · 2017-07-16 · 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{HWDJJGMPNDFNJBIMY264IIE63A}

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	2026-05-18T00:40:11.810493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d8694998f68cad4850cc6bdc4209ed8172df3be9c88b011991808ab5ca8ffd5

Aliases

arxiv: 1707.04910 · arxiv_version: 1707.04910v1 · doi: 10.48550/arxiv.1707.04910 · pith_short_12: HWDJJGMPNDFN · pith_short_16: HWDJJGMPNDFNJBIM · pith_short_8: HWDJJGMP

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/HWDJJGMPNDFNJBIMY264IIE63A \
  | 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: 3d8694998f68cad4850cc6bdc4209ed8172df3be9c88b011991808ab5ca8ffd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd32aa0f5800671eb44c708826a7bfe7ccb59728d0b3db29811d0e7cb8bdf626",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-16T16:55:16Z",
    "title_canon_sha256": "25fba34a224ce6fd7c0d4f117a21580d6336c458b88a1c4d948e9bdb438ce899"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04910",
    "kind": "arxiv",
    "version": 1
  }
}