Pith Number

pith:FLCWMCR2

pith:2019:FLCWMCR2ILLKAKIMC2HJYRPHSX

not attested not anchored not stored refs pending

Fractional cocoloring of graphs

Andr\'e K\"undgen, John Gimbel, Michael Molloy

arxiv:1906.05504 v1 · 2019-06-13 · 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{FLCWMCR2ILLKAKIMC2HJYRPHSX}

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	2026-05-17T23:43:25.205808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ac5660a3a42d6a0290c168e9c45e795f083922463e608393e0f43a1ea6cf3ad

Aliases

arxiv: 1906.05504 · arxiv_version: 1906.05504v1 · doi: 10.48550/arxiv.1906.05504 · pith_short_12: FLCWMCR2ILLK · pith_short_16: FLCWMCR2ILLKAKIM · pith_short_8: FLCWMCR2

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/FLCWMCR2ILLKAKIMC2HJYRPHSX \
  | 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: 2ac5660a3a42d6a0290c168e9c45e795f083922463e608393e0f43a1ea6cf3ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c77d5d9985fef85018ae04480c9cfb6d967ab1ae0fdfc70306b8b9399547bec3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-13T06:42:34Z",
    "title_canon_sha256": "bc71809785ab33dbcbe75d04d1d56fc10be194b790c32bc6669a1fc855070a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05504",
    "kind": "arxiv",
    "version": 1
  }
}