Pith Number

pith:JYBPUL2Y

pith:2020:JYBPUL2Y2YKUK37HGSF4Q43DVT

not attested not anchored not stored refs pending

Syntactic categories for dependent type theory: sketching and adequacy

Daniel Gratzer, Jonathan Sterling

arxiv:2012.10783 v2 · 2020-12-19 · 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{JYBPUL2Y2YKUK37HGSF4Q43DVT}

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

Decalf: A Directed, Effectful Cost-Aware Logical Framework

Receipt and verification

First computed	2026-07-05T02:21:54.459252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e02fa2f58d615456fe7348bc87363acd6b47291d9048c7fdd5fdb02fdfc51a6

Aliases

arxiv: 2012.10783 · arxiv_version: 2012.10783v2 · doi: 10.48550/arxiv.2012.10783 · pith_short_12: JYBPUL2Y2YKU · pith_short_16: JYBPUL2Y2YKUK37H · pith_short_8: JYBPUL2Y

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/JYBPUL2Y2YKUK37HGSF4Q43DVT \
  | 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: 4e02fa2f58d615456fe7348bc87363acd6b47291d9048c7fdd5fdb02fdfc51a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7103b8384b43f7f0d367f74734c2645c1e1254b6f7fc41a8df4ae4d6096755d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2020-12-19T21:23:29Z",
    "title_canon_sha256": "50f08b1b981f0c2aac2911861d4552749028e38081091bd8f52db1f8d58a3b81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.10783",
    "kind": "arxiv",
    "version": 2
  }
}