Pith Number

pith:HUIGC6PQ

pith:2026:HUIGC6PQYO6WL2B2AXJ2QX72B7

not attested not anchored not stored refs pending

Top-Down Mergesort with Sorted Check Has Mergecost $\le(\mathcal H+3)n$

Sebastian Wild

arxiv:2608.08348 v1 · 2026-08-08 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUIGC6PQYO6WL2B2AXJ2QX72B7}

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	2026-08-11T01:22:23.105222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d106179f0c3bd65e83a05d3a85ffa0fce287ffea8f7fe215e5a482247dc5756

Aliases

arxiv: 2608.08348 · arxiv_version: 2608.08348v1 · doi: 10.48550/arxiv.2608.08348 · pith_short_12: HUIGC6PQYO6W · pith_short_16: HUIGC6PQYO6WL2B2 · pith_short_8: HUIGC6PQ

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/HUIGC6PQYO6WL2B2AXJ2QX72B7 \
  | 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: 3d106179f0c3bd65e83a05d3a85ffa0fce287ffea8f7fe215e5a482247dc5756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa73dce36a97a1cf77e3569ae8aeb1272da5b8cf63e93226a899ab8c1af041c2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-08-08T22:04:57Z",
    "title_canon_sha256": "9013fa1e588d63020004852ffc1730befbac68dbd44abbf8c360dc011b175e9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08348",
    "kind": "arxiv",
    "version": 1
  }
}