Pith Number

pith:EUNXU5X5

pith:2018:EUNXU5X5J6EI3CI7UALJS57JZV

not attested not anchored not stored refs pending

Packing chromatic number of subdivisions of cubic graphs

Alexandr Kostochka, J\'ozsef Balogh, Xujun Liu

arxiv:1803.02537 v2 · 2018-03-07 · 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{EUNXU5X5J6EI3CI7UALJS57JZV}

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	2026-05-18T00:03:56.301638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

251b7a76fd4f888d891fa0169977e9cd68a81c4ebc646e4128fbd6c689bc5026

Aliases

arxiv: 1803.02537 · arxiv_version: 1803.02537v2 · doi: 10.48550/arxiv.1803.02537 · pith_short_12: EUNXU5X5J6EI · pith_short_16: EUNXU5X5J6EI3CI7 · pith_short_8: EUNXU5X5

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/EUNXU5X5J6EI3CI7UALJS57JZV \
  | 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: 251b7a76fd4f888d891fa0169977e9cd68a81c4ebc646e4128fbd6c689bc5026

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e967370812041efa09b40b8e3dfbfad580ab6c4b868326f8be21dda1fb4ffcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-07T06:30:01Z",
    "title_canon_sha256": "a6bc36291ff9b515fff3e5a86099d358b77a66ad5983bc0e6f66f19d418b5229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02537",
    "kind": "arxiv",
    "version": 2
  }
}