Pith Number

pith:KTB5GYW6

pith:2026:KTB5GYW65QNQUMNUPJLREA3FSO

not attested not anchored not stored refs pending

Witness-split + window-cardinality refinement for $r_3(N)$: Architecture, empirical results, and a structural hard pocket

Mehmet Ergezer

arxiv:2606.04016 v1 · 2026-05-31 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTB5GYW65QNQUMNUPJLREA3FSO}

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	2026-06-04T00:06:44.566700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54c3d362deec1b0a31b47a5712036593aa30c33840994e98e079841f7486895b

Aliases

arxiv: 2606.04016 · arxiv_version: 2606.04016v1 · doi: 10.48550/arxiv.2606.04016 · pith_short_12: KTB5GYW65QNQ · pith_short_16: KTB5GYW65QNQUMNU · pith_short_8: KTB5GYW6

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/KTB5GYW65QNQUMNUPJLREA3FSO \
  | 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: 54c3d362deec1b0a31b47a5712036593aa30c33840994e98e079841f7486895b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1f2bf57cf7b1a26ef5b2eaa9bd10222fe6ce5db1290477790f32d95de3dfecb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-05-31T17:48:17Z",
    "title_canon_sha256": "c88b9d56d031e824eeed5d8d35af034d89aff8d8f75a072cf0cbf7b9c8c33312"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04016",
    "kind": "arxiv",
    "version": 1
  }
}