Pith Number

pith:MGFOUZQJ

pith:2013:MGFOUZQJU63ZCR5DP4U6N66K42

not attested not anchored not stored refs pending

$k$-Blocks: a connectivity invariant for graphs

Fabian Hundertmark, Johannes Carmesin, Matthias Hamann, Reinhard Diestel

arxiv:1305.4557 v4 · 2013-05-20 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGFOUZQJU63ZCR5DP4U6N66K42}

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	2026-05-18T01:25:55.938810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

618aea6609a7b79147a37f29e6fbcae68f935ae08d131699a68e1b45eec56173

Aliases

arxiv: 1305.4557 · arxiv_version: 1305.4557v4 · doi: 10.48550/arxiv.1305.4557 · pith_short_12: MGFOUZQJU63Z · pith_short_16: MGFOUZQJU63ZCR5D · pith_short_8: MGFOUZQJ

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/MGFOUZQJU63ZCR5DP4U6N66K42 \
  | 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: 618aea6609a7b79147a37f29e6fbcae68f935ae08d131699a68e1b45eec56173

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7dfcc55f6761bbe323631322a988c8029c837ff1ecb497690c8ea79b86a70ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-20T15:34:13Z",
    "title_canon_sha256": "bc740c28abea764e81cbfec51d371dc0911ecd6cbfa813e50837ade2f0d57e37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4557",
    "kind": "arxiv",
    "version": 4
  }
}