Pith Number

pith:WY5ZS5CM

pith:2013:WY5ZS5CMJ34225QTEOTLLFNMAJ

not attested not anchored not stored refs pending

Revealing Cluster Structure of Graph by Path Following Replicator Dynamic

Hairong Liu, Longin Jan Latecki, Shuicheng Yan

arxiv:1303.2643 v1 · 2013-03-11 · cs.LG · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WY5ZS5CMJ34225QTEOTLLFNMAJ}

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	2026-05-18T03:31:18.381693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b63b99744c4ef9ad761323a6b595ac026020a91a39eb9355ccf78530a076c55a

Aliases

arxiv: 1303.2643 · arxiv_version: 1303.2643v1 · doi: 10.48550/arxiv.1303.2643 · pith_short_12: WY5ZS5CMJ342 · pith_short_16: WY5ZS5CMJ34225QT · pith_short_8: WY5ZS5CM

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/WY5ZS5CMJ34225QTEOTLLFNMAJ \
  | 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: b63b99744c4ef9ad761323a6b595ac026020a91a39eb9355ccf78530a076c55a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d3dc7170062192cf7757b32974c1c4d00f5a3b4a34c6f1d68979e6682416cf7",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2013-03-11T19:52:48Z",
    "title_canon_sha256": "44228af9c6841d4f95092982d26eed002ec7f3e270f4de1d7bc1697b6d3f2f99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2643",
    "kind": "arxiv",
    "version": 1
  }
}