Pith Number

pith:EQARTLSL

pith:2026:EQARTLSL6PHCQNT56AOOVSI3KC

not attested not anchored not stored refs pending

Optimizing Explicit Unit-Distance Lower-Bound Certificates

Michael T.M. Emmerich

arxiv:2606.03419 v1 · 2026-06-02 · math.OC · cs.AI · cs.CG · cs.NE · 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{EQARTLSL6PHCQNT56AOOVSI3KC}

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	2026-06-03T01:05:57.337906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

240119ae4bf3ce28367df01ceac91b50a6c60cc01b163a671145a5e6febfd270

Aliases

arxiv: 2606.03419 · arxiv_version: 2606.03419v1 · doi: 10.48550/arxiv.2606.03419 · pith_short_12: EQARTLSL6PHC · pith_short_16: EQARTLSL6PHCQNT5 · pith_short_8: EQARTLSL

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/EQARTLSL6PHCQNT56AOOVSI3KC \
  | 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: 240119ae4bf3ce28367df01ceac91b50a6c60cc01b163a671145a5e6febfd270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17d1f94efd76943e6cad4c5900683f14cc93a6c4c909e9f6588afbbcebdd47d2",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CG",
      "cs.NE",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-02T10:05:23Z",
    "title_canon_sha256": "25b0ddf38aefb655fe26c2c0fd76c16be8ee00bf3a57634441bd9f2ed7191621"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03419",
    "kind": "arxiv",
    "version": 1
  }
}