Pith Number

pith:VFLKSUOY

pith:2025:VFLKSUOYKYCBSV2ZLVMKUUT7SU

not attested not anchored not stored refs pending

A 2-categorical approach to the semantics of dependent type theory with computation axioms

Matteo Spadetto

arxiv:2507.07208 v1 · 2025-07-09 · math.LO · cs.LO · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFLKSUOYKYCBSV2ZLVMKUUT7SU}

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	2026-07-05T11:34:32.900999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a956a951d856041957595d58aa527f9539ac74932f2289e76cf48bdace4e1e21

Aliases

arxiv: 2507.07208 · arxiv_version: 2507.07208v1 · doi: 10.48550/arxiv.2507.07208 · pith_short_12: VFLKSUOYKYCB · pith_short_16: VFLKSUOYKYCBSV2Z · pith_short_8: VFLKSUOY

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/VFLKSUOYKYCBSV2ZLVMKUUT7SU \
  | 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: a956a951d856041957595d58aa527f9539ac74932f2289e76cf48bdace4e1e21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c050f76526ec41b01bedcd1268a731d929277c0999725336b8d17e3e1bec41ef",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-07-09T18:31:44Z",
    "title_canon_sha256": "fff14d9c1fddd335a6b243a76c9dd1e803430bb9c3a4e400ffe7ea2b1443378d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07208",
    "kind": "arxiv",
    "version": 1
  }
}