Pith Number

pith:XNH77QZD

pith:2017:XNH77QZDZ64Q3LDJOSVJAAOPQU

not attested not anchored not stored refs pending

Condensers with touching plates and constrained minimum Riesz and Green energy problems

B. Fuglede, D.P. Hardin, E.B. Saff, N. Zorii, P.D. Dragnev

arxiv:1711.05484 v2 · 2017-11-15 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XNH77QZDZ64Q3LDJOSVJAAOPQU}

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	2026-05-18T00:02:19.497443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb4fffc323cfb90dac6974aa9001cf853a05c6739ef0c2dccb288ad55e3a61cd

Aliases

arxiv: 1711.05484 · arxiv_version: 1711.05484v2 · doi: 10.48550/arxiv.1711.05484 · pith_short_12: XNH77QZDZ64Q · pith_short_16: XNH77QZDZ64Q3LDJ · pith_short_8: XNH77QZD

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/XNH77QZDZ64Q3LDJOSVJAAOPQU \
  | 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: bb4fffc323cfb90dac6974aa9001cf853a05c6739ef0c2dccb288ad55e3a61cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "053b25430290ab9daf900f06fe84b13fbe138a3f673ebbd5222d3e15b9cedd35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-11-15T10:13:30Z",
    "title_canon_sha256": "821485990af4a8e14dc22a785d074f73f6e4a40d2ff492c03e4d044778d56808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05484",
    "kind": "arxiv",
    "version": 2
  }
}