Pith Number

pith:CTT5OESC

pith:2015:CTT5OESCH5NOGBW6R4ES3OKCPY

not attested not anchored not stored refs pending

Decompositions of edge-coloured infinite complete graphs into monochromatic paths II

Daniel T. Soukup

arxiv:1507.06187 v2 · 2015-07-22 · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTT5OESCH5NOGBW6R4ES3OKCPY}

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	2026-05-18T01:19:00.383305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14e7d712423f5ae306de8f092db9427e1c14d25cce4d3059ecc5156259904f57

Aliases

arxiv: 1507.06187 · arxiv_version: 1507.06187v2 · doi: 10.48550/arxiv.1507.06187 · pith_short_12: CTT5OESCH5NO · pith_short_16: CTT5OESCH5NOGBW6 · pith_short_8: CTT5OESC

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/CTT5OESCH5NOGBW6R4ES3OKCPY \
  | 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: 14e7d712423f5ae306de8f092db9427e1c14d25cce4d3059ecc5156259904f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24cf3c0f570fce23893ac2235133dbc47dc4fa8cd05ede2e65565df63cb91b1d",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-22T13:56:05Z",
    "title_canon_sha256": "9ceb9408a00bae849b19d3771a7d11337748cacd54d7f5f30435a43b3f5c7f0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06187",
    "kind": "arxiv",
    "version": 2
  }
}