Pith Number

pith:GKIHNVDL

pith:2012:GKIHNVDLFCYXA4QPYN2QXAQVVQ

not attested not anchored not stored refs pending

Better Space Bounds for Parameterized Range Majority and Minority

Djamal Belazzougui, Gonzalo Navarro, Travis Gagie

arxiv:1210.1765 v2 · 2012-10-05 · 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{GKIHNVDLFCYXA4QPYN2QXAQVVQ}

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	2026-05-18T02:47:51.114605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

329076d46b28b170720fc3750b8215ac1036eb30b6ccccbc5ab890c5052455b4

Aliases

arxiv: 1210.1765 · arxiv_version: 1210.1765v2 · doi: 10.48550/arxiv.1210.1765 · pith_short_12: GKIHNVDLFCYX · pith_short_16: GKIHNVDLFCYXA4QP · pith_short_8: GKIHNVDL

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/GKIHNVDLFCYXA4QPYN2QXAQVVQ \
  | 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: 329076d46b28b170720fc3750b8215ac1036eb30b6ccccbc5ab890c5052455b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba8cf0b24c382d122efff5ff285057ccfd07fca4e1b768c9a912a9f881b65ca8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-10-05T14:01:58Z",
    "title_canon_sha256": "00d8ba8f0c233a861eee91506ce7fa3806cc224a6fda186082d90d228b75d7dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1765",
    "kind": "arxiv",
    "version": 2
  }
}