Pith Number

pith:5KOOCRKI

pith:2016:5KOOCRKIF2YEL5QBATWD5RSCP2

not attested not anchored not stored refs pending

Deterministic Distributed (Delta + o(\Delta))-Edge-Coloring, and Vertex-Coloring of Graphs with Bounded Diversity

Leonid Barenboim, Michael Elkin, Tzalik Maimon

arxiv:1610.06759 v1 · 2016-10-21 · cs.DC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KOOCRKIF2YEL5QBATWD5RSCP2}

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	2026-05-18T01:01:36.791160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea9ce145482eb045f60104ec3ec6427eaf54166096f6714a6fa06f0761ac0f48

Aliases

arxiv: 1610.06759 · arxiv_version: 1610.06759v1 · doi: 10.48550/arxiv.1610.06759 · pith_short_12: 5KOOCRKIF2YE · pith_short_16: 5KOOCRKIF2YEL5QB · pith_short_8: 5KOOCRKI

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/5KOOCRKIF2YEL5QBATWD5RSCP2 \
  | 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: ea9ce145482eb045f60104ec3ec6427eaf54166096f6714a6fa06f0761ac0f48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8651954b955ee4357d6d6a724b5d5acd25cb31fd0cf2034c9c53b5e2708c90d",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2016-10-21T12:28:32Z",
    "title_canon_sha256": "4915c8f581987f607c3e607f1d8a0d609a92922154a0d8d27d069354535eff3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06759",
    "kind": "arxiv",
    "version": 1
  }
}