Pith Number

pith:PPIV6CVQ

pith:2012:PPIV6CVQIMKYCQ47FVUH4MAEJ4

not attested not anchored not stored refs pending

Topological graph clustering with thin position

Jesse Johnson

arxiv:1206.0771 v1 · 2012-06-04 · math.GT · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPIV6CVQIMKYCQ47FVUH4MAEJ4}

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	2026-05-18T03:54:16.385941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd15f0ab0431581439f2d687e30044f39e9aeac2a80b30cd6c3fc2137956ce8

Aliases

arxiv: 1206.0771 · arxiv_version: 1206.0771v1 · doi: 10.48550/arxiv.1206.0771 · pith_short_12: PPIV6CVQIMKY · pith_short_16: PPIV6CVQIMKYCQ47 · pith_short_8: PPIV6CVQ

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/PPIV6CVQIMKYCQ47FVUH4MAEJ4 \
  | 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: 7bd15f0ab0431581439f2d687e30044f39e9aeac2a80b30cd6c3fc2137956ce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5879786e6bef76890afe9d5f6a87b9ff280ba684719cc880eff24820ff24f196",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-06-04T21:22:26Z",
    "title_canon_sha256": "0aa5844f310895bb38ebc196e286a9413f5a008284e5d238fce7e1ee7243fc26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0771",
    "kind": "arxiv",
    "version": 1
  }
}