Pith Number

pith:LIJZY2UA

pith:2025:LIJZY2UANIHIPGQJHC7FX5YY7V

not attested not anchored not stored refs pending

Well-Separated Pairs Decomposition Revisited

Benjamin Raichel, Eliot W. Robson, Sariel Har-Peled

arxiv:2509.05997 v1 · 2025-09-07 · 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{LIJZY2UANIHIPGQJHC7FX5YY7V}

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	2026-07-05T12:06:27.990151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a139c6a806a0e879a0938be5bf718fd7a09314ae828bf5a24c5ca1212d8aff0

Aliases

arxiv: 2509.05997 · arxiv_version: 2509.05997v1 · doi: 10.48550/arxiv.2509.05997 · pith_short_12: LIJZY2UANIHI · pith_short_16: LIJZY2UANIHIPGQJ · pith_short_8: LIJZY2UA

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/LIJZY2UANIHIPGQJHC7FX5YY7V \
  | 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: 5a139c6a806a0e879a0938be5bf718fd7a09314ae828bf5a24c5ca1212d8aff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e87b3574a2d4709a9c089827915b8becca6efae507361e0c3cf23d9950b12ade",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2025-09-07T10:13:40Z",
    "title_canon_sha256": "563a8400f7c0be82ee3d892f24ed19c3b716306124a2878a0f3b80d08680e5a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05997",
    "kind": "arxiv",
    "version": 1
  }
}