Pith Number

pith:KXJ43XCY

pith:2016:KXJ43XCYJ5EZG4DJ22OI65AFCP

not attested not anchored not stored refs pending

Guarded Cubical Type Theory: Path Equality for Guarded Recursion

Ale\v{s} Bizjak, Andrea Vezzosi, Bas Spitters, Hans Bugge Grathwohl, Lars Birkedal, Ranald Clouston

arxiv:1606.05223 v2 · 2016-06-16 · 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{KXJ43XCYJ5EZG4DJ22OI65AFCP}

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	2026-05-18T01:11:47.758783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55d3cddc584f49937069d69c8f740513fba75f8ec35838fb7974a6300dce273f

Aliases

arxiv: 1606.05223 · arxiv_version: 1606.05223v2 · doi: 10.48550/arxiv.1606.05223 · pith_short_12: KXJ43XCYJ5EZ · pith_short_16: KXJ43XCYJ5EZG4DJ · pith_short_8: KXJ43XCY

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/KXJ43XCYJ5EZG4DJ22OI65AFCP \
  | 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: 55d3cddc584f49937069d69c8f740513fba75f8ec35838fb7974a6300dce273f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a59106a73a30b0f858b3684020402ae31ee9d290eb66b00cb6e447f6f5ddaa3a",
    "cross_cats_sorted": [
      "cs.PL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-06-16T15:32:47Z",
    "title_canon_sha256": "edaff334bceb09a1c9d855b710cef774ab34f84c7ef1fe4cebfba1aa909148a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05223",
    "kind": "arxiv",
    "version": 2
  }
}