Pith Number

pith:JUBLJUD5

pith:2012:JUBLJUD5VTH6PI5XCAYBI44333

not attested not anchored not stored refs pending

Harmonious Coloring of Trees with Large Maximum Degree

Alexandr Kostochka, Jaehoon Kim, Saieed Akbari

arxiv:1202.1046 v1 · 2012-02-06 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JUBLJUD5VTH6PI5XCAYBI44333}

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	2026-05-18T04:03:05.269991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d02b4d07daccfe7a3b7103014739bdec8cb08c630d355cfed5f843450288645

Aliases

arxiv: 1202.1046 · arxiv_version: 1202.1046v1 · doi: 10.48550/arxiv.1202.1046 · pith_short_12: JUBLJUD5VTH6 · pith_short_16: JUBLJUD5VTH6PI5X · pith_short_8: JUBLJUD5

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/JUBLJUD5VTH6PI5XCAYBI44333 \
  | 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: 4d02b4d07daccfe7a3b7103014739bdec8cb08c630d355cfed5f843450288645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7916a047811d4782ff3ffc916eba751f44be3e8379d748f845061e50a749da2d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-06T04:16:44Z",
    "title_canon_sha256": "a99b20b926aaab3a3f6e56a62b4097a39b71577bbc1ee150c7f518bf43883afa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1046",
    "kind": "arxiv",
    "version": 1
  }
}