Pith Number

pith:YSMCBLCM

pith:2016:YSMCBLCM5F5Z7HS4H5WDMMQJGC

not attested not anchored not stored refs pending

Packing chromatic number under local changes in a graph

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

arxiv:1608.05577 v1 · 2016-08-19 · 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{YSMCBLCM5F5Z7HS4H5WDMMQJGC}

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	2026-05-18T01:08:28.133913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c49820ac4ce97b9f9e5c3f6c363209309b836a7b197cb9ddebb097689812eed9

Aliases

arxiv: 1608.05577 · arxiv_version: 1608.05577v1 · doi: 10.48550/arxiv.1608.05577 · pith_short_12: YSMCBLCM5F5Z · pith_short_16: YSMCBLCM5F5Z7HS4 · pith_short_8: YSMCBLCM

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/YSMCBLCM5F5Z7HS4H5WDMMQJGC \
  | 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: c49820ac4ce97b9f9e5c3f6c363209309b836a7b197cb9ddebb097689812eed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab377b8dfe126aea85811367736050eab3c83ed57a9f5da011962243dd501129",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-19T11:56:48Z",
    "title_canon_sha256": "d9f04a4be2650a5b3b586c9a2a0cf7b981d0cae1064c0b291679b87f88109fbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05577",
    "kind": "arxiv",
    "version": 1
  }
}