Pith Number

pith:C6HSIT4J

pith:2023:C6HSIT4JLZZS4BIPDP4AN2IDPQ

not attested not anchored not stored refs pending

A Verified Cost Analysis of Joinable Red-Black Trees

Harrison Grodin (1), Robert Harper (1) ((1) Carnegie Mellon University), Runming Li (1)

arxiv:2309.11056 v2 · 2023-09-20 · cs.PL · 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{C6HSIT4JLZZS4BIPDP4AN2IDPQ}

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.

Cited by

1 paper in Pith

Canonicity for Cost-Aware Logical Framework via Synthetic Tait Computability

Receipt and verification

First computed	2026-07-05T06:53:45.236749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

178f244f895e732e050f1bf806e9037c215f9252a0c0d67722bb6432352bfb2f

Aliases

arxiv: 2309.11056 · arxiv_version: 2309.11056v2 · doi: 10.48550/arxiv.2309.11056 · pith_short_12: C6HSIT4JLZZS · pith_short_16: C6HSIT4JLZZS4BIP · pith_short_8: C6HSIT4J

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/C6HSIT4JLZZS4BIPDP4AN2IDPQ \
  | 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: 178f244f895e732e050f1bf806e9037c215f9252a0c0d67722bb6432352bfb2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bee51284169be9d664345066340954f5a6ce6dbc9f1f8499c7e85f879711067c",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2023-09-20T04:29:05Z",
    "title_canon_sha256": "f7181e84fa60130ccba923c4c9b97816c367b7de44407a53bb2aa4f7ac2e61b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.11056",
    "kind": "arxiv",
    "version": 2
  }
}