Pith Number

pith:FRAP6WLW

pith:2016:FRAP6WLWILMGBUYKTXM7N5VXE5

not attested not anchored not stored refs pending

Range Majorities and Minorities in Arrays

Djamal Belazzougui, Gonzalo Navarro, J. Ian Munro, Travis Gagie, Yakov Nekrich

arxiv:1606.04495 v1 · 2016-06-14 · 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{FRAP6WLWILMGBUYKTXM7N5VXE5}

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	2026-05-18T01:12:25.526676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c40ff597642d860d30a9dd9f6f6b7275403e06954948f63c0b602422446c78b

Aliases

arxiv: 1606.04495 · arxiv_version: 1606.04495v1 · doi: 10.48550/arxiv.1606.04495 · pith_short_12: FRAP6WLWILMG · pith_short_16: FRAP6WLWILMGBUYK · pith_short_8: FRAP6WLW

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/FRAP6WLWILMGBUYKTXM7N5VXE5 \
  | 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: 2c40ff597642d860d30a9dd9f6f6b7275403e06954948f63c0b602422446c78b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02c6da5377bca4ba1a755f712bc7d9871cb6931cdfbe24d8ec44481c762f31fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-06-14T18:47:01Z",
    "title_canon_sha256": "de5f7c52b56054c9395342c625b4208f539f00a21a3ac57e79686d9af3ac6722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04495",
    "kind": "arxiv",
    "version": 1
  }
}