Pith Number

pith:65Z5XB2H

pith:2016:65Z5XB2HPUL4CHUF4P47H7L5WC

not attested not anchored not stored refs pending

Matrix Semigroup Freeness Problems in $\mathrm{SL}(2,\mathbb{Z})$

Igor Potapov, Sang-Ki Ko

arxiv:1610.09834 v1 · 2016-10-31 · cs.CC · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65Z5XB2HPUL4CHUF4P47H7L5WC}

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	2026-05-18T01:00:47.088804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f773db87477d17c11e85e3f9f3fd7db0a6a1f81c5778328376c26d43ca5bdf0e

Aliases

arxiv: 1610.09834 · arxiv_version: 1610.09834v1 · doi: 10.48550/arxiv.1610.09834 · pith_short_12: 65Z5XB2HPUL4 · pith_short_16: 65Z5XB2HPUL4CHUF · pith_short_8: 65Z5XB2H

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/65Z5XB2HPUL4CHUF4P47H7L5WC \
  | 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: f773db87477d17c11e85e3f9f3fd7db0a6a1f81c5778328376c26d43ca5bdf0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44f525c8d3143f508489d20609fb98dcaa341b9d8c109ccc1cf33caa6ada115d",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-10-31T09:06:53Z",
    "title_canon_sha256": "821d10d3ff76eb0262ae11de012961bb687dca9fd8d8758438babb1a2a9ac1ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09834",
    "kind": "arxiv",
    "version": 1
  }
}