Pith Number

pith:ZZLWJ42P

pith:2012:ZZLWJ42PCOIGIFIEP42UUMP5AW

not attested not anchored not stored refs pending

Dynamic 3-sided Planar Range Queries with Expected Doubly Logarithmic Time

Alexis C. Kaporis, Apostolos N. Papadopoulos, Gerth St{\o}lting Brodal, Konstantinos Tsakalidis, Kostas Tsichlas, Spyros Sioutas

arxiv:1201.2702 v1 · 2012-01-12 · 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{ZZLWJ42PCOIGIFIEP42UUMP5AW}

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	2026-05-18T04:04:43.271869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce5764f34f13906415047f354a31fd05b27770461d605ea40d0c13158fd8d715

Aliases

arxiv: 1201.2702 · arxiv_version: 1201.2702v1 · doi: 10.48550/arxiv.1201.2702 · pith_short_12: ZZLWJ42PCOIG · pith_short_16: ZZLWJ42PCOIGIFIE · pith_short_8: ZZLWJ42P

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/ZZLWJ42PCOIGIFIEP42UUMP5AW \
  | 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: ce5764f34f13906415047f354a31fd05b27770461d605ea40d0c13158fd8d715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7c067a0f94d69f2bf1fff74f364b7424df31f59b23a7162e462ecef6087d0eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-01-12T23:00:21Z",
    "title_canon_sha256": "96ee2458a3922ce986ba45fa5d3abd78cedb69d7500bd689ebb80230524fc2e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2702",
    "kind": "arxiv",
    "version": 1
  }
}