Pith Number

pith:4MNP6ENC

pith:2022:4MNP6ENCWOQHM5JQSSMRS3YF2T

not attested not anchored not stored refs pending

Sum and Tensor of Quantitative Effects

Giorgio Bacci, Gordon Plotkin, Prakash Panangaden, Radu Mardare

arxiv:2212.11784 v4 · 2022-12-22 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MNP6ENCWOQHM5JQSSMRS3YF2T}

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	2026-07-05T09:27:50.528819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e31aff11a2b3a07675309499196f05d4c8e6d684007b3625e7b4a7ba66534996

Aliases

arxiv: 2212.11784 · arxiv_version: 2212.11784v4 · doi: 10.48550/arxiv.2212.11784 · pith_short_12: 4MNP6ENCWOQH · pith_short_16: 4MNP6ENCWOQHM5JQ · pith_short_8: 4MNP6ENC

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/4MNP6ENCWOQHM5JQSSMRS3YF2T \
  | 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: e31aff11a2b3a07675309499196f05d4c8e6d684007b3625e7b4a7ba66534996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb5a6e916a2f9542b31bb749e780862122b85703151a70a96dd511e21f8b7b90",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2022-12-22T15:19:18Z",
    "title_canon_sha256": "5dad9ffd64a934b092fcae498bcf6ef7411ac48d806c9f4a124bf5b246a3b097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.11784",
    "kind": "arxiv",
    "version": 4
  }
}