Pith Number

pith:VIEFA4S7

pith:2011:VIEFA4S7KJS5PI7ZUFATMXLLAW

not attested not anchored not stored refs pending

Consecutive Ones Property and PQ-Trees for Multisets: Hardness of Counting Their Orderings

Giovanni Battaglia, Noemi Scutell\`a, Roberto Grossi

arxiv:1102.0041 v2 · 2011-01-31 · 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{VIEFA4S7KJS5PI7ZUFATMXLLAW}

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	2026-05-18T02:22:41.543272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa0850725f5265d7a3f9a141365d6b059519d5572157145fcd42c14d27b2286f

Aliases

arxiv: 1102.0041 · arxiv_version: 1102.0041v2 · doi: 10.48550/arxiv.1102.0041 · pith_short_12: VIEFA4S7KJS5 · pith_short_16: VIEFA4S7KJS5PI7Z · pith_short_8: VIEFA4S7

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/VIEFA4S7KJS5PI7ZUFATMXLLAW \
  | 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: aa0850725f5265d7a3f9a141365d6b059519d5572157145fcd42c14d27b2286f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01962fe2acbf71da14564c282a20fd07d1f3c29cfd84739bd378afd62e5d9adb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-01-31T23:59:40Z",
    "title_canon_sha256": "32b917dde4c995b9a129a34708d6a501570c83f3a83cb4f0487764be052c002a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0041",
    "kind": "arxiv",
    "version": 2
  }
}