Pith Number

pith:PLUPRAU2

pith:2025:PLUPRAU2P5BGRSTPY3Y6WKLKCQ

not attested not anchored not stored refs pending

Dependent Multiplicities in Dependent Linear Type Theory

Maximilian Dor\'e

arxiv:2507.08759 v4 · 2025-07-11 · 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{PLUPRAU2P5BGRSTPY3Y6WKLKCQ}

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	2026-05-20T02:05:34.137901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ae8f8829a7f4268ca6fc6f1eb296a1435f340eb81a472cf087476d4ed837298

Aliases

arxiv: 2507.08759 · arxiv_version: 2507.08759v4 · doi: 10.48550/arxiv.2507.08759 · pith_short_12: PLUPRAU2P5BG · pith_short_16: PLUPRAU2P5BGRSTP · pith_short_8: PLUPRAU2

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/PLUPRAU2P5BGRSTPY3Y6WKLKCQ \
  | 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: 7ae8f8829a7f4268ca6fc6f1eb296a1435f340eb81a472cf087476d4ed837298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "259366bcc0b048529420783384b08af3891c2e8631ac2914ff0a6f8cf502c81d",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2025-07-11T17:12:11Z",
    "title_canon_sha256": "604abbb15b18ae170e2d73c4bbaa7db3527ae9e5f6ff4d3577d47e3590231937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08759",
    "kind": "arxiv",
    "version": 4
  }
}