Pith Number

pith:MLHOGDX2

pith:2011:MLHOGDX2RPV6IOH6CD5DYQYKBJ

not attested not anchored not stored refs pending

Colorful Triangle Counting and a MapReduce Implementation

Charalampos E. Tsourakakis, Rasmus Pagh

arxiv:1103.6073 v1 · 2011-03-31 · cs.DS · cs.DM · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLHOGDX2RPV6IOH6CD5DYQYKBJ}

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	2026-05-18T04:25:25.246484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62cee30efa8bebe438fe10fa3c430a0a54e21da4dec75fca71c3fc70512546e3

Aliases

arxiv: 1103.6073 · arxiv_version: 1103.6073v1 · doi: 10.48550/arxiv.1103.6073 · pith_short_12: MLHOGDX2RPV6 · pith_short_16: MLHOGDX2RPV6IOH6 · pith_short_8: MLHOGDX2

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/MLHOGDX2RPV6IOH6CD5DYQYKBJ \
  | 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: 62cee30efa8bebe438fe10fa3c430a0a54e21da4dec75fca71c3fc70512546e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0de3c0279479c7785a022de5ec1c8d711f80668dd71aee413d05bbba5bccf5b6",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-03-31T01:26:13Z",
    "title_canon_sha256": "24f2ea518a92faf86d1cf7233152ef51b40c8c4ced2160acb850689890b93b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6073",
    "kind": "arxiv",
    "version": 1
  }
}