Pith Number

pith:DR7K7NFV

pith:2015:DR7K7NFVA5Y7XN3GKVPSAEHDMV

not attested not anchored not stored refs pending

Measurable circle squaring

Andr\'as M\'ath\'e, {\L}ukasz Grabowski, Oleg Pikhurko

arxiv:1501.06122 v4 · 2015-01-25 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DR7K7NFVA5Y7XN3GKVPSAEHDMV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:06:23.027949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c7eafb4b50771fbb766555f2010e365527c238e7b71fb5e7f1162f31e194c01

Aliases

arxiv: 1501.06122 · arxiv_version: 1501.06122v4 · doi: 10.48550/arxiv.1501.06122 · pith_short_12: DR7K7NFVA5Y7 · pith_short_16: DR7K7NFVA5Y7XN3G · pith_short_8: DR7K7NFV

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/DR7K7NFVA5Y7XN3GKVPSAEHDMV \
  | 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: 1c7eafb4b50771fbb766555f2010e365527c238e7b71fb5e7f1162f31e194c01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7f13f6ab80d9346ae9764fa81ae3a8db55b7d28c60a3942d57eb0e6d94d9a5a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-01-25T06:44:20Z",
    "title_canon_sha256": "0a52de91c19c4ebe9e6085e3e21164ddc085e804f4b8b024e0980a0089780c5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06122",
    "kind": "arxiv",
    "version": 4
  }
}