Pith Number

pith:CJC2MIWX

pith:2016:CJC2MIWXGKQ2GAV5TCOOA5LWXA

not attested not anchored not stored refs pending

Cubical Type Theory: a constructive interpretation of the univalence axiom

Anders M\"ortberg, Cyril Cohen, Simon Huber, Thierry Coquand

arxiv:1611.02108 v1 · 2016-11-07 · cs.LO · math.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{CJC2MIWXGKQ2GAV5TCOOA5LWXA}

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	2026-05-18T00:59:34.046278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1245a622d732a1a302bd989ce07576b83dd0a347452c76ae74bc63ee2c2cbc9d

Aliases

arxiv: 1611.02108 · arxiv_version: 1611.02108v1 · doi: 10.48550/arxiv.1611.02108 · pith_short_12: CJC2MIWXGKQ2 · pith_short_16: CJC2MIWXGKQ2GAV5 · pith_short_8: CJC2MIWX

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/CJC2MIWXGKQ2GAV5TCOOA5LWXA \
  | 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: 1245a622d732a1a302bd989ce07576b83dd0a347452c76ae74bc63ee2c2cbc9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ac385ba729b22f18d4c20413a667f8d6939243d7f5669591dae9a9c85401dd6",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-11-07T15:25:28Z",
    "title_canon_sha256": "09e7d0d2946f0ed619fab6511025ca51a7877ed0cc51bc7c146271ca6eb15bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02108",
    "kind": "arxiv",
    "version": 1
  }
}