pith. sign in
Pith Number

pith:337LREUL

pith:2015:337LREULJ7BMXM4SSNX6NWX5Y6
not attested not anchored not stored refs pending

From Tarski's plank problem to simultaneous approximation

Andrey B. Kupavskii, J\'anos Pach

arxiv:1511.08111 v2 · 2015-11-25 · math.MG · cs.DM · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{337LREULJ7BMXM4SSNX6NWX5Y6}

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 2026-05-18T00:29:15.747213Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

defeb8928b4fc2cbb392936fe6dafdc7aeec703f3e1c8d86128e0605b248c5ce

Aliases

arxiv: 1511.08111 · arxiv_version: 1511.08111v2 · doi: 10.48550/arxiv.1511.08111 · pith_short_12: 337LREULJ7BM · pith_short_16: 337LREULJ7BMXM4S · pith_short_8: 337LREUL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/337LREULJ7BMXM4SSNX6NWX5Y6 \
  | 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: defeb8928b4fc2cbb392936fe6dafdc7aeec703f3e1c8d86128e0605b248c5ce
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c3be991fcfa7dd46d62b42082ca33be5ebb9afc517aaafe26b6f12ec3f2ccde8",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-11-25T16:45:39Z",
    "title_canon_sha256": "2671074c858c024c51ec73712b29cb0ad139d3801bd9c9ad0ab56f0de36309a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08111",
    "kind": "arxiv",
    "version": 2
  }
}