Pith Number

pith:JDBK36CA

pith:2021:JDBK36CABJ4ICLUF6JVOXBNFRF

not attested not anchored not stored refs pending

On the Parallel Complexity of Group Isomorphism via Weisfeiler-Leman

Joshua A. Grochow, Michael Levet

arxiv:2112.11487 v7 · 2021-12-21 · cs.DS · cs.CC · cs.LO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDBK36CABJ4ICLUF6JVOXBNFRF}

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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.

Cited by

1 paper in Pith

On the Complexity of Identifying Groups without Abelian Normal Subgroups: Parallel, First Order, and GI-Hardness

Receipt and verification

First computed	2026-07-05T12:05:55.704139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48c2adf8400a78812e85f26aeb85a58955dae8e1d3ffcac969b9ba51bbc1ea82

Aliases

arxiv: 2112.11487 · arxiv_version: 2112.11487v7 · doi: 10.48550/arxiv.2112.11487 · pith_short_12: JDBK36CABJ4I · pith_short_16: JDBK36CABJ4ICLUF · pith_short_8: JDBK36CA

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/JDBK36CABJ4ICLUF6JVOXBNFRF \
  | 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: 48c2adf8400a78812e85f26aeb85a58955dae8e1d3ffcac969b9ba51bbc1ea82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "804a755f71688fd782b5ed529e99d420027ea542824deef6248ade8dc6360be5",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.LO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-12-21T19:05:40Z",
    "title_canon_sha256": "e26460a0af779cb4c76dade157d59f3eb5b245de6348c59a83402ced91aa5e54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.11487",
    "kind": "arxiv",
    "version": 7
  }
}