Pith Number

pith:4MKBMB6M

pith:2016:4MKBMB6MVRUWQJWCDEWETS4UVB

not attested not anchored not stored refs pending

The Parameterized Complexity of Fixing Number and Vertex Individualization in Graphs

Frank Fuhlbr\"uck, Gaurav Rattan, Johannes K\"obler, Sebastian Kuhnert, V. Arvind

arxiv:1606.04383 v1 · 2016-06-14 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MKBMB6MVRUWQJWCDEWETS4UVB}

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	2026-05-18T01:12:25.671212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3141607ccac696826c2192c49cb94a85fc95321113bdb245ee73576e4c588a0

Aliases

arxiv: 1606.04383 · arxiv_version: 1606.04383v1 · doi: 10.48550/arxiv.1606.04383 · pith_short_12: 4MKBMB6MVRUW · pith_short_16: 4MKBMB6MVRUWQJWC · pith_short_8: 4MKBMB6M

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/4MKBMB6MVRUWQJWCDEWETS4UVB \
  | 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: e3141607ccac696826c2192c49cb94a85fc95321113bdb245ee73576e4c588a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02f31b971a711a1ec7466d7eb5a5d50e70d256de17faa36833938eeb86ac9300",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-06-14T14:19:09Z",
    "title_canon_sha256": "967b9fad3a15c646adb46d6e1faf1bff9e26075fc49ef8d644376ca0f08ef493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04383",
    "kind": "arxiv",
    "version": 1
  }
}