Pith Number

pith:X5JKLOH4

pith:2015:X5JKLOH4FL3LBDSW4UOVBQHV3K

not attested not anchored not stored refs pending

A Framework for Dependent Types and Effects

Matthijs V\'ak\'ar

arxiv:1512.08009 v2 · 2015-12-25 · 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{X5JKLOH4FL3LBDSW4UOVBQHV3K}

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

1 paper in Pith

Canonicity for Cost-Aware Logical Framework via Synthetic Tait Computability

Receipt and verification

First computed	2026-05-18T01:19:11.122785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf52a5b8fc2af6b08e56e51d50c0f5dabb0d57fadbe4aa506019c68e97fd78b4

Aliases

arxiv: 1512.08009 · arxiv_version: 1512.08009v2 · doi: 10.48550/arxiv.1512.08009 · pith_short_12: X5JKLOH4FL3L · pith_short_16: X5JKLOH4FL3LBDSW · pith_short_8: X5JKLOH4

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/X5JKLOH4FL3LBDSW4UOVBQHV3K \
  | 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: bf52a5b8fc2af6b08e56e51d50c0f5dabb0d57fadbe4aa506019c68e97fd78b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a198af2923a87835d8c3ea746e2a02d5ec227f126eb1749d2d91da929d975ee9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-12-25T15:29:30Z",
    "title_canon_sha256": "e65bf261825d91883a1e2c64030a1003702d387e81608f2c843e050a0f7e5ac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08009",
    "kind": "arxiv",
    "version": 2
  }
}