Pith Number

pith:QGMDV3RG

pith:2010:QGMDV3RGFWZJBKS4IVGSO2XNYP

not attested not anchored not stored refs pending

Midpoint sets contained in the unit sphere of a normed space

Konrad J. Swanepoel

arxiv:1006.1049 v1 · 2010-06-05 · math.MG

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

Receipt and verification

First computed	2026-05-18T04:14:46.194772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81983aee262db290aa5c454d276aedc3d3bfd6befe3223de5060d78918a11201

Aliases

arxiv: 1006.1049 · arxiv_version: 1006.1049v1 · doi: 10.48550/arxiv.1006.1049

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/QGMDV3RGFWZJBKS4IVGSO2XNYP \
  | 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: 81983aee262db290aa5c454d276aedc3d3bfd6befe3223de5060d78918a11201

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "726034fb699fadd579aa2965b27a954b273a1b066542a09a9f7b86d8c77a8a08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-06-05T14:37:41Z",
    "title_canon_sha256": "63b34ac9af2b9567d5dae968d1c2ad7504f89ed8ce0643e019b1970ac3b1e235"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1049",
    "kind": "arxiv",
    "version": 1
  }
}