Pith Number

pith:7QXPTGXG

pith:2022:7QXPTGXGV47QXBDDDRRPOTNXHV

not attested not anchored not stored refs pending

Lower Bound Techniques in the Comparison-Query Model and Inversion Minimization on Trees

Andrew Morgan, Dieter van Melkebeek, Ivan Hu

arxiv:2211.12441 v2 · 2022-11-22 · 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{7QXPTGXGV47QXBDDDRRPOTNXHV}

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	2026-07-05T08:38:32.308130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc2ef99ae6af3f0b84631c62f74db73d7ead650e47e4b4bb9e34d172a725be75

Aliases

arxiv: 2211.12441 · arxiv_version: 2211.12441v2 · doi: 10.48550/arxiv.2211.12441 · pith_short_12: 7QXPTGXGV47Q · pith_short_16: 7QXPTGXGV47QXBDD · pith_short_8: 7QXPTGXG

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/7QXPTGXGV47QXBDDDRRPOTNXHV \
  | 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: fc2ef99ae6af3f0b84631c62f74db73d7ead650e47e4b4bb9e34d172a725be75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34a54aa475618bb8acf7b5c0373527cf431b9c10299cb40bd96e77ac8a63c808",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2022-11-22T17:51:02Z",
    "title_canon_sha256": "5c5923a92f1b9eaac8160305ada29b59167115fdd5f88554dcd67059dd2f7bb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.12441",
    "kind": "arxiv",
    "version": 2
  }
}