Pith Number

pith:ELE2Y2GL

pith:2012:ELE2Y2GLEF44METDIQUW7BL5VM

not attested not anchored not stored refs pending

A characterisation of inner product spaces by the maximal circumradius of spheres

Sebastian Scholtes

arxiv:1202.0503 v1 · 2012-02-02 · math.FA · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELE2Y2GLEF44METDIQUW7BL5VM}

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	2026-05-18T04:03:17.997834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22c9ac68cb2179c6126344296f857dab325f74234ffb7226953f27d5df0a866f

Aliases

arxiv: 1202.0503 · arxiv_version: 1202.0503v1 · doi: 10.48550/arxiv.1202.0503 · pith_short_12: ELE2Y2GLEF44 · pith_short_16: ELE2Y2GLEF44METD · pith_short_8: ELE2Y2GL

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/ELE2Y2GLEF44METDIQUW7BL5VM \
  | 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: 22c9ac68cb2179c6126344296f857dab325f74234ffb7226953f27d5df0a866f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41092e4508303e423df633c55d2a6889997e63255c64db3fa01dba627c1414c8",
    "cross_cats_sorted": [
      "math.CA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-02-02T17:51:07Z",
    "title_canon_sha256": "5fc02664b4fc19b5e615c1449bee13c6dbf7473344444d1afd49ba5d72c4e25e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0503",
    "kind": "arxiv",
    "version": 1
  }
}