Pith Number

pith:ZV6PK3OG

pith:2019:ZV6PK3OGQSCL4ZX4KJJJXXCNQD

not attested not anchored not stored refs pending

Condensers with infinitely many touching Borel plates and minimum energy problems

Natalia Zorii

arxiv:1903.08917 v2 · 2019-03-21 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZV6PK3OGQSCL4ZX4KJJJXXCNQD}

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	2026-05-17T23:47:25.138621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd7cf56dc68484be66fc52529bdc4d80fa2269716db159a97527f431e7b807d9

Aliases

arxiv: 1903.08917 · arxiv_version: 1903.08917v2 · doi: 10.48550/arxiv.1903.08917 · pith_short_12: ZV6PK3OGQSCL · pith_short_16: ZV6PK3OGQSCL4ZX4 · pith_short_8: ZV6PK3OG

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/ZV6PK3OGQSCL4ZX4KJJJXXCNQD \
  | 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: cd7cf56dc68484be66fc52529bdc4d80fa2269716db159a97527f431e7b807d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef933e61341e9c7c0d79d7426c0751d361911c08255d434a32739d38d56e2db7",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-03-21T10:47:32Z",
    "title_canon_sha256": "c5c9c153811975930f7006d8397a47a5c2684ec960b9e4ba8d930d6e6561118e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08917",
    "kind": "arxiv",
    "version": 2
  }
}