Pith Number

pith:ZTTPM5AG

pith:2011:ZTTPM5AGNVFGGM6UDLS4T33THM

not attested not anchored not stored refs pending

Linear Dependent Types and Relative Completeness

Marco Gaboardi (Universit\`a di Bologna, Ugo Dal Lago (Universit\`a di Bologna), University of Pennsylvania)

arxiv:1104.0193 v5 · 2011-04-01 · cs.LO · 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{ZTTPM5AGNVFGGM6UDLS4T33THM}

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	2026-05-18T01:37:39.577295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cce6f674066d4a6333d41ae5c9ef733b04dcca0b411cbffb29c7d47b1dc727fb

Aliases

arxiv: 1104.0193 · arxiv_version: 1104.0193v5 · doi: 10.48550/arxiv.1104.0193 · pith_short_12: ZTTPM5AGNVFG · pith_short_16: ZTTPM5AGNVFGGM6U · pith_short_8: ZTTPM5AG

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/ZTTPM5AGNVFGGM6UDLS4T33THM \
  | 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: cce6f674066d4a6333d41ae5c9ef733b04dcca0b411cbffb29c7d47b1dc727fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ec2621d8dbfc242ed41001f8efad56af5fa230dca006be01d4ffe6adf1f6f98",
    "cross_cats_sorted": [
      "cs.PL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2011-04-01T15:07:28Z",
    "title_canon_sha256": "c389bbbc5d228f0b39ffcd5ee767a77e24a8d5472069b81cce402433161fd86f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0193",
    "kind": "arxiv",
    "version": 5
  }
}