Pith Number

pith:ZH45YPRC

pith:2026:ZH45YPRCHTNHYR67N7EK6SAGJB

not attested not anchored not stored refs pending

A Remark on the Odd Area of Unit Disks

Stefan Steinerberger

arxiv:2606.08337 v1 · 2026-06-06 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZH45YPRCHTNHYR67N7EK6SAGJB}

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	2026-06-09T01:05:33.920757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9f9dc3e223cda7c47df6fc8af4806484cd38b011d481ac5b7b3e4c8ba9e77d9

Aliases

arxiv: 2606.08337 · arxiv_version: 2606.08337v1 · doi: 10.48550/arxiv.2606.08337 · pith_short_12: ZH45YPRCHTNH · pith_short_16: ZH45YPRCHTNHYR67 · pith_short_8: ZH45YPRC

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/ZH45YPRCHTNHYR67N7EK6SAGJB \
  | 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: c9f9dc3e223cda7c47df6fc8af4806484cd38b011d481ac5b7b3e4c8ba9e77d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39a6f33ec12c261aeb819f7104bfefcd46011d6d8f8493ed6a607bfa2e4cb0d3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-06-06T21:03:46Z",
    "title_canon_sha256": "f3b05c9845cedbdf18d1d77230cd02441268d5b53a6ae611785aa8588502fad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08337",
    "kind": "arxiv",
    "version": 1
  }
}