Pith Number

pith:QW2X7ZAW

pith:2013:QW2X7ZAWKDBVRRYA2TDTDPLDTZ

not attested not anchored not stored refs pending

A geometric characterisation of the quadratic min-power centre

C.J. Ras, D.A. Thomas, M. Brazil

arxiv:1307.1222 v1 · 2013-07-04 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QW2X7ZAWKDBVRRYA2TDTDPLDTZ}

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	2026-05-18T02:56:44.143047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b57fe41650c358c700d4c731bd639e7c503ac5980015414e601abbeaaafba1

Aliases

arxiv: 1307.1222 · arxiv_version: 1307.1222v1 · doi: 10.48550/arxiv.1307.1222 · pith_short_12: QW2X7ZAWKDBV · pith_short_16: QW2X7ZAWKDBVRRYA · pith_short_8: QW2X7ZAW

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/QW2X7ZAWKDBVRRYA2TDTDPLDTZ \
  | 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: 85b57fe41650c358c700d4c731bd639e7c503ac5980015414e601abbeaaafba1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aab9808f506eb3ab4a65217bdcce8326451ba8055b188059bb459077e21ba868",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-07-04T06:52:52Z",
    "title_canon_sha256": "5b2cd8deaf9b11176a3b06521cb04e7b32256c1c51fa52daae5c6e8efe39e19f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1222",
    "kind": "arxiv",
    "version": 1
  }
}