Pith Number

pith:KIJALHQ4

pith:2026:KIJALHQ4OPNUZKDAWXS7DNJWJX

not attested not anchored not stored refs pending

Same Coeffect, Different Base: Connecting Two Dominant Approaches to Graded Types

Danielle Marshall, Dominic Orchard, Vilem Liepelt

arxiv:2606.28042 v1 · 2026-06-26 · 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{KIJALHQ4OPNUZKDAWXS7DNJWJX}

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	2026-06-29T01:14:56.109280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5212059e1c73db4ca860b5e5f1b5364df19c7b127b2af6f5fd0395d58dd26a71

Aliases

arxiv: 2606.28042 · arxiv_version: 2606.28042v1 · doi: 10.48550/arxiv.2606.28042 · pith_short_12: KIJALHQ4OPNU · pith_short_16: KIJALHQ4OPNUZKDA · pith_short_8: KIJALHQ4

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/KIJALHQ4OPNUZKDAWXS7DNJWJX \
  | 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: 5212059e1c73db4ca860b5e5f1b5364df19c7b127b2af6f5fd0395d58dd26a71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1699b9bbbab6dd54061faeba87f76bc86743eea3a00bc1556513e4a736eed77a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2026-06-26T12:45:20Z",
    "title_canon_sha256": "7ab8e9fe5770a8dbe7bac07d2901091fc1385f251cd4cd4c2509e35479450626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28042",
    "kind": "arxiv",
    "version": 1
  }
}