Pith Number

pith:RFBNM3AB

pith:2016:RFBNM3ABEGCMDXK5TZO255LLTP

not attested not anchored not stored refs pending

NP-completeness in the gossip monoid

Marianne Johnson, Mark Kambites, Peter Fenner

arxiv:1606.01026 v1 · 2016-06-03 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFBNM3ABEGCMDXK5TZO255LLTP}

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	2026-05-18T01:12:59.401117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8942d66c012184c1dd5d9e5daef56b9bf97b60fe7790872b536af64813bb774d

Aliases

arxiv: 1606.01026 · arxiv_version: 1606.01026v1 · doi: 10.48550/arxiv.1606.01026 · pith_short_12: RFBNM3ABEGCM · pith_short_16: RFBNM3ABEGCMDXK5 · pith_short_8: RFBNM3AB

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/RFBNM3ABEGCMDXK5TZO255LLTP \
  | 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: 8942d66c012184c1dd5d9e5daef56b9bf97b60fe7790872b536af64813bb774d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5d89991a9d5a57ecf5e37c6106c8e2a0949d799dfaa814995a4941d224d5b7f",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-03T09:59:48Z",
    "title_canon_sha256": "0e911806fd35c8000e58fc2aea014f35fe9b1186d538d807886823e99d33d42a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01026",
    "kind": "arxiv",
    "version": 1
  }
}