Pith Number

pith:OCKF5TYQ

pith:2026:OCKF5TYQYQBL6MO5OHXRGKPG7K

not attested not anchored not stored refs pending

Minimal intersection radius for $n$ growing, non-homogeneous ellipsoids in $\mathbb{R}^d$

Barbara Giunti, Felix X.-F. Ye, Sean Hill

arxiv:2606.01548 v1 · 2026-06-01 · math.OC · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OCKF5TYQYQBL6MO5OHXRGKPG7K}

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	2026-06-02T02:04:36.064211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70945ecf10c402bf31dd71ef1329e6fa9297fe4393a935b5e1a9122b044331aa

Aliases

arxiv: 2606.01548 · arxiv_version: 2606.01548v1 · doi: 10.48550/arxiv.2606.01548 · pith_short_12: OCKF5TYQYQBL · pith_short_16: OCKF5TYQYQBL6MO5 · pith_short_8: OCKF5TYQ

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/OCKF5TYQYQBL6MO5OHXRGKPG7K \
  | 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: 70945ecf10c402bf31dd71ef1329e6fa9297fe4393a935b5e1a9122b044331aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db1b1e30203a6c2be9410a84abc72acd2a89bf5d2549c1533c49e023801a9536",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-01T01:48:05Z",
    "title_canon_sha256": "3ac5b77e62ece17108dfc040c3a06e1b7f6eeb614da730457560a149267286a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01548",
    "kind": "arxiv",
    "version": 1
  }
}