Pith Number

pith:4S535CQR

pith:2015:4S535CQRBJYNVYIP26ZFBNAKWG

not attested not anchored not stored refs pending

External Memory Three-Sided Range Reporting and Top-$k$ Queries with Sublogarithmic Updates

Gerth St{\o}lting Brodal

arxiv:1509.08240 v1 · 2015-09-28 · 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{4S535CQRBJYNVYIP26ZFBNAKWG}

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	2026-05-18T01:31:54.356452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4bbbe8a110a70dae10fd7b250b40ab1a6148773c89945c916a5c2e940b95696

Aliases

arxiv: 1509.08240 · arxiv_version: 1509.08240v1 · doi: 10.48550/arxiv.1509.08240 · pith_short_12: 4S535CQRBJYN · pith_short_16: 4S535CQRBJYNVYIP · pith_short_8: 4S535CQR

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/4S535CQRBJYNVYIP26ZFBNAKWG \
  | 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: e4bbbe8a110a70dae10fd7b250b40ab1a6148773c89945c916a5c2e940b95696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb3b4dd661aab5116f2b93d8b074721683e81f7ed20918a2a31ef7b5337df3d3",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-09-28T09:02:54Z",
    "title_canon_sha256": "675dcee33926d057346d8a10cec70ffe236eb822dd444220c5247d1915c167aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08240",
    "kind": "arxiv",
    "version": 1
  }
}