Pith Number

pith:LZMKSKKE

pith:2015:LZMKSKKEM2SKRRKANBWLQGWSIF

not attested not anchored not stored refs pending

Decomposition of Sparse Graphs into Forests: The Nine Dragon Tree Conjecture for $k \le 2$

Alexandr Kostochka, Douglas B. West, Min Chen, Seog-Jin Kim, Xuding Zhu

arxiv:1502.04755 v1 · 2015-02-17 · 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{LZMKSKKEM2SKRRKANBWLQGWSIF}

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	2026-05-18T02:26:58.406589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e58a9294466a4a8c540686cb81ad24179e404a7791d95fd66ab7832a7afe3fb

Aliases

arxiv: 1502.04755 · arxiv_version: 1502.04755v1 · doi: 10.48550/arxiv.1502.04755 · pith_short_12: LZMKSKKEM2SK · pith_short_16: LZMKSKKEM2SKRRKA · pith_short_8: LZMKSKKE

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/LZMKSKKEM2SKRRKANBWLQGWSIF \
  | 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: 5e58a9294466a4a8c540686cb81ad24179e404a7791d95fd66ab7832a7afe3fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e539c1da6a6e17bbabd32799a277c8bd42ad8715baac70eca6772ca475dbdc20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-17T00:19:38Z",
    "title_canon_sha256": "f429f179d000837d326b5962bd6cafff97ce49b54bd9e5f177afc29cb6a40a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04755",
    "kind": "arxiv",
    "version": 1
  }
}