Pith Number

pith:K6545ARD

pith:2013:K6545ARDT3IM2WYIFOFSTAL5LZ

not attested not anchored not stored refs pending

Distance-two coloring of sparse graphs

Louis Esperet, Zdenek Dvorak

arxiv:1303.3191 v2 · 2013-03-13 · 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{K6545ARDT3IM2WYIFOFSTAL5LZ}

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	2026-05-18T03:12:22.307969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57bbce82239ed0cd5b082b8b29817d5e59a3137cb1a72a6521010b51fbcd4890

Aliases

arxiv: 1303.3191 · arxiv_version: 1303.3191v2 · doi: 10.48550/arxiv.1303.3191 · pith_short_12: K6545ARDT3IM · pith_short_16: K6545ARDT3IM2WYI · pith_short_8: K6545ARD

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/K6545ARDT3IM2WYIFOFSTAL5LZ \
  | 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: 57bbce82239ed0cd5b082b8b29817d5e59a3137cb1a72a6521010b51fbcd4890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8657933e755305f7610c2082f918fbfa74a188287e17ed6d56b4d52db3eb6004",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-13T15:30:23Z",
    "title_canon_sha256": "4a900bed77fd2fed390ba66324d442e1a154c99810c3b2a56f163d6a55a410e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3191",
    "kind": "arxiv",
    "version": 2
  }
}