Pith Number

pith:CJKXQOWV

pith:2026:CJKXQOWV2NYTHNBLLAR5LHB2H2

not attested not anchored not stored refs pending

Tangent Spheres and Integer Distances

David Eppstein

arxiv:2606.18569 v1 · 2026-06-17 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJKXQOWV2NYTHNBLLAR5LHB2H2}

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	2026-06-19T16:11:41.138022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1255783ad5d37133b42b5823d59c3a3ebe53c9b2f059ea9f9a9ce2f69d429afb

Aliases

arxiv: 2606.18569 · arxiv_version: 2606.18569v1 · doi: 10.48550/arxiv.2606.18569 · pith_short_12: CJKXQOWV2NYT · pith_short_16: CJKXQOWV2NYTHNBL · pith_short_8: CJKXQOWV

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/CJKXQOWV2NYTHNBLLAR5LHB2H2 \
  | 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: 1255783ad5d37133b42b5823d59c3a3ebe53c9b2f059ea9f9a9ce2f69d429afb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aecc4a3d0c568ea2fe8c95406fc73ef36248dc4d780c103c2f0bb1ad51e13a50",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2026-06-17T00:41:19Z",
    "title_canon_sha256": "ed523f3f65141613f09ce5bc0f9fe9568c604810c8e5afaf6bb57913dcb277f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18569",
    "kind": "arxiv",
    "version": 1
  }
}