Pith Number

pith:KGZZQXUM

pith:2019:KGZZQXUMCLHN2TYXDKQDHZOUBA

not attested not anchored not stored refs pending

Improved Distributed Expander Decomposition and Nearly Optimal Triangle Enumeration

Thatchaphol Saranurak, Yi-Jun Chang

arxiv:1904.08037 v2 · 2019-04-17 · cs.DS · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGZZQXUMCLHN2TYXDKQDHZOUBA}

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	2026-05-17T23:45:03.848233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51b3985e8c12cedd4f171aa033e5d4080abaaa77f6b949b03fbbe833bad8e9a4

Aliases

arxiv: 1904.08037 · arxiv_version: 1904.08037v2 · doi: 10.48550/arxiv.1904.08037 · pith_short_12: KGZZQXUMCLHN · pith_short_16: KGZZQXUMCLHN2TYX · pith_short_8: KGZZQXUM

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/KGZZQXUMCLHN2TYXDKQDHZOUBA \
  | 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: 51b3985e8c12cedd4f171aa033e5d4080abaaa77f6b949b03fbbe833bad8e9a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21c6e1414cd907dde098c0f23507a5bbfc48fa0ecc88cc802e0fd5f658f39c37",
    "cross_cats_sorted": [
      "cs.DC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-04-17T00:50:26Z",
    "title_canon_sha256": "de7bab1dd47c6aa79a2871ad32324dcf101a2ecd578e7fd684b25adcad7b2da9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08037",
    "kind": "arxiv",
    "version": 2
  }
}