Pith Number

pith:K6K2EOCD

pith:2016:K6K2EOCD6KGADCOCLH44LQHA6L

not attested not anchored not stored refs pending

On semigroups with PSPACE-complete subpower membership problem

Markus Steindl

arxiv:1604.01757 v1 · 2016-04-06 · math.GR · 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{K6K2EOCD6KGADCOCLH44LQHA6L}

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	2026-05-17T23:53:13.238709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5795a23843f28c0189c259f9c5c0e0f2dc957f60f7589ab7124d2673ddb5c9a3

Aliases

arxiv: 1604.01757 · arxiv_version: 1604.01757v1 · doi: 10.48550/arxiv.1604.01757 · pith_short_12: K6K2EOCD6KGA · pith_short_16: K6K2EOCD6KGADCOC · pith_short_8: K6K2EOCD

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/K6K2EOCD6KGADCOCLH44LQHA6L \
  | 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: 5795a23843f28c0189c259f9c5c0e0f2dc957f60f7589ab7124d2673ddb5c9a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5072303b6e01a3deacb1edb6f94d81d10ae3441ff75588749c6baedb97e71d2d",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-04-06T04:41:22Z",
    "title_canon_sha256": "a0b2dc169519d519b28866af918c5680b9acb8c6110c6c1294013dab08a25c53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01757",
    "kind": "arxiv",
    "version": 1
  }
}