Pith Number

pith:SW32MZ2G

pith:2026:SW32MZ2GX45EIF7SO4EFANS44U

not attested not anchored not stored refs resolved

Cubical Type Theoretic Navya-Ny\=aya

Mrityunjoy Panday, Sudipta Ghosh

Cubical type theory encodes Navya-Nyaya's core structures without losing dependent delimitation or non-extensional identity.

arxiv:2605.12548 v1 · 2026-05-10 · cs.LO

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\usepackage{pith}
\pithnumber{SW32MZ2GX45EIF7SO4EFANS44U}

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Record completeness

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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.

Claims

C1strongest claim

We argue that CTT closes this gap natively. We give CTT encodings for seven core constructs plus the qualifier-qualificand structure and prove four signature theorems internal to the encoding.

C2weakest assumption

That the load-bearing structures of Navya-Nyaya (dependent delimitation, typed absence, non-extensional identity, unbounded relational depth) can be faithfully captured by the native features of CCHM De Morgan cubical type theory without introducing new postulates that alter the original meaning.

C3one line summary

Navya-Nyaya technical language is formalized in cubical type theory with encodings for seven constructs, four internal theorems, and six metatheoretic results.

References

35 extracted · 35 resolved · 0 Pith anchors

[1] Angiuli, C., Brunerie, G., Coquand, T., Harper, R., Hou (Favonia), K.-B., Licata, D. (2017). Cartesian Cubical Type Theory. Preprint 2017

[2] et al.agda/cubical: A standard library for Cubical Agda.https://github

[3] grahawithD¯ ıpik¯ a

[4] Awodey, S. (2018). A cubical model of homotopy type theory.Annals of Pure and Applied Logic169(12): 1270–1294 2018

[5] Bhatt, G. P. (1989).Navya-Ny¯ aya Theory of Verbal Cognition. Eastern Book Linkers 1989

Receipt and verification

First computed	2026-05-18T03:10:02.186524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95b7a66746bf3a4417f2770850365ce5195430d4fe3616379ea036208d6b708a

Aliases

arxiv: 2605.12548 · arxiv_version: 2605.12548v1 · doi: 10.48550/arxiv.2605.12548 · pith_short_12: SW32MZ2GX45E · pith_short_16: SW32MZ2GX45EIF7S · pith_short_8: SW32MZ2G

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/SW32MZ2GX45EIF7SO4EFANS44U \
  | 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: 95b7a66746bf3a4417f2770850365ce5195430d4fe3616379ea036208d6b708a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8e4e06b02900c1ae9bc254de775ce21be23114d7e985708d63477fd8d44d55b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-05-10T05:23:46Z",
    "title_canon_sha256": "885c94abb3d8b45a30eeeaa411bed14f019043d7168df7b80d247ab39373f499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12548",
    "kind": "arxiv",
    "version": 1
  }
}