Pith Number

pith:YW76UEST

pith:2021:YW76UESTBXEGCZUTVCI6RBDYNI

not attested not anchored not stored refs pending

Equational reasoning for non-determinism monad: the case of Spark aggregation

Shin-Cheng Mu

arxiv:2101.09408 v1 · 2021-01-23 · cs.PL

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YW76UESTBXEGCZUTVCI6RBDYNI}

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	2026-07-05T02:09:18.334743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5bfea12530dc8616693a891e884786a336099d2dd206b8003128e0516080065

Aliases

arxiv: 2101.09408 · arxiv_version: 2101.09408v1 · doi: 10.48550/arxiv.2101.09408 · pith_short_12: YW76UESTBXEG · pith_short_16: YW76UESTBXEGCZUT · pith_short_8: YW76UEST

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/YW76UESTBXEGCZUTVCI6RBDYNI \
  | 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: c5bfea12530dc8616693a891e884786a336099d2dd206b8003128e0516080065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cc2278e5890c107f210a12f31c484c0e687d066ab22bcdcf39277bf9bd61b38",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2021-01-23T03:17:31Z",
    "title_canon_sha256": "c3a254db357ef4e9b770464af8802bd852e7b42d02ecf4ff616d140f02bca584"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.09408",
    "kind": "arxiv",
    "version": 1
  }
}