Pith Number

pith:64V4IGIQ

pith:2025:64V4IGIQZSIMKXREDRJX7MV4HH

not attested not anchored not stored refs pending

Canonicity for Cost-Aware Logical Framework via Synthetic Tait Computability

Robert Harper, Runming Li

arxiv:2504.12464 v1 · 2025-04-16 · cs.PL · 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{64V4IGIQZSIMKXREDRJX7MV4HH}

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

2 papers in Pith

Directed proof-relevant logical relations in simplicial HoTT

Potential Functions as Types

Receipt and verification

First computed	2026-07-05T10:50:16.777083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f72bc41910cc90c55e241c537fb2bc39cb10b787d4e02d1b5dabfa1ee3736c8e

Aliases

arxiv: 2504.12464 · arxiv_version: 2504.12464v1 · doi: 10.48550/arxiv.2504.12464 · pith_short_12: 64V4IGIQZSIM · pith_short_16: 64V4IGIQZSIMKXRE · pith_short_8: 64V4IGIQ

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/64V4IGIQZSIMKXREDRJX7MV4HH \
  | 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: f72bc41910cc90c55e241c537fb2bc39cb10b787d4e02d1b5dabfa1ee3736c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0e025512b02e77103abe31d14812dc8fb5a2afe92785f23d9ed5063a7f0b31f",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2025-04-16T19:56:15Z",
    "title_canon_sha256": "bfeb1372e149599cfe1e00814a21fcce2b0d032e0293c667654b1913964fce04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.12464",
    "kind": "arxiv",
    "version": 1
  }
}