Pith Number

pith:3MSLHT35

pith:2016:3MSLHT35QUKL6HDLUHRLC27Y7Y

not attested not anchored not stored refs pending

The subpower membership problem for semigroups

Andrei Bulatov, Marcin Kozik, Markus Steindl, Peter Mayr

arxiv:1603.09333 v2 · 2016-03-29 · 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{3MSLHT35QUKL6HDLUHRLC27Y7Y}

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	2026-05-18T01:07:48.974166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db24b3cf7d8514bf1c6ba1e2b16bf8fe1a786eda46bb4aa84fb28409354b60f9

Aliases

arxiv: 1603.09333 · arxiv_version: 1603.09333v2 · doi: 10.48550/arxiv.1603.09333 · pith_short_12: 3MSLHT35QUKL · pith_short_16: 3MSLHT35QUKL6HDL · pith_short_8: 3MSLHT35

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/3MSLHT35QUKL6HDLUHRLC27Y7Y \
  | 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: db24b3cf7d8514bf1c6ba1e2b16bf8fe1a786eda46bb4aa84fb28409354b60f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d099a199c1c44a00e0a252f03d5cd96fe40ea6e96270d7ee813a516cefe293dc",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-29T22:50:33Z",
    "title_canon_sha256": "58d4217b01bf2bd804b1aa7819e90000a674209f135a20531dda86643291559f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09333",
    "kind": "arxiv",
    "version": 2
  }
}