Pith Number

pith:CIWYB6V7

pith:2016:CIWYB6V76C2BKJSLNG2XEQQXYL

not attested not anchored not stored refs pending

Decidability of the Membership Problem for $2\times 2$ integer matrices

Igor Potapov, Pavel Semukhin

arxiv:1604.02303 v1 · 2016-04-08 · cs.DM · 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{CIWYB6V76C2BKJSLNG2XEQQXYL}

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	2026-05-18T01:17:26.920556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

122d80fabff0b415264b69b5724217c2eae2275d5e998b08716a5500bf0e1caf

Aliases

arxiv: 1604.02303 · arxiv_version: 1604.02303v1 · doi: 10.48550/arxiv.1604.02303 · pith_short_12: CIWYB6V76C2B · pith_short_16: CIWYB6V76C2BKJSL · pith_short_8: CIWYB6V7

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/CIWYB6V76C2BKJSLNG2XEQQXYL \
  | 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: 122d80fabff0b415264b69b5724217c2eae2275d5e998b08716a5500bf0e1caf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3701f7ae6c0c69b0327e370af0d99188023859ff8df75f48c068bce04ea26b99",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-04-08T10:53:55Z",
    "title_canon_sha256": "1ba800480a976fd0be97d83293b5a3d065e6d439ae24525aba25c3e4d720988c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02303",
    "kind": "arxiv",
    "version": 1
  }
}