pith. sign in
Pith Number

pith:5XZG47TT

pith:2018:5XZG47TTTUOKCOUWHUCO5PSCFZ
not attested not anchored not stored refs pending

Modal logic of planar polygons

David Gabelaia, Evgeny Kuznetsov, Kristina Gogoladze, Maarten Marx, Mamuka Jibladze

arxiv:1807.02868 v1 · 2018-07-08 · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5XZG47TTTUOKCOUWHUCO5PSCFZ}

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 2026-05-18T00:11:13.500546Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

edf26e7e739d1ca13a963d04eebe422e45b0b1a6ff37060554bdfc2b01b7bbd3

Aliases

arxiv: 1807.02868 · arxiv_version: 1807.02868v1 · doi: 10.48550/arxiv.1807.02868 · pith_short_12: 5XZG47TTTUOK · pith_short_16: 5XZG47TTTUOKCOUW · pith_short_8: 5XZG47TT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5XZG47TTTUOKCOUWHUCO5PSCFZ \
  | 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: edf26e7e739d1ca13a963d04eebe422e45b0b1a6ff37060554bdfc2b01b7bbd3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d0cea3cd8fe2c6b5e8ffa57656c809020787bb749b42ae3a46bbc96a393c0829",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-07-08T19:00:44Z",
    "title_canon_sha256": "deea883678b4c23aa48a621668b2322a5d4ebc587f4b6a1ad41b9097f3345945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02868",
    "kind": "arxiv",
    "version": 1
  }
}