Pith Number

pith:VTUR7DN4

pith:2022:VTUR7DN4IPYVGMXGBONZGFBJMO

not attested not anchored not stored refs pending

Counterexamples expose gaps in the proof of time complexity for cover trees introduced in 2006

Vitaliy Kurlin, Yury Elkin

arxiv:2208.09447 v1 · 2022-08-19 · cs.CG · 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{VTUR7DN4IPYVGMXGBONZGFBJMO}

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	2026-07-05T04:50:00.015381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace91f8dbc43f15332e60b9b9314296388da0243490c90455f177a6ae3a1a75d

Aliases

arxiv: 2208.09447 · arxiv_version: 2208.09447v1 · doi: 10.48550/arxiv.2208.09447 · pith_short_12: VTUR7DN4IPYV · pith_short_16: VTUR7DN4IPYVGMXG · pith_short_8: VTUR7DN4

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/VTUR7DN4IPYVGMXGBONZGFBJMO \
  | 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: ace91f8dbc43f15332e60b9b9314296388da0243490c90455f177a6ae3a1a75d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1471940ab1a0613612767b66fce36b021b04779eaa64a7466269dfbdede60574",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2022-08-19T16:58:35Z",
    "title_canon_sha256": "d436abba9474e1677a1f9921a5b96691f5acb9c65d2a0f81b52f7a83463ce14d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.09447",
    "kind": "arxiv",
    "version": 1
  }
}