Pith Number

pith:HLHXN2IC

pith:2026:HLHXN2IC4XO4G2XQ7EUJDPY56A

not attested not anchored not stored refs pending

Internal Algebraic Type Theory

Joseph Hua

arxiv:2608.00095 v1 · 2026-07-30 · math.CT · 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{HLHXN2IC4XO4G2XQ7EUJDPY56A}

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	2026-08-04T00:32:15.670972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3acf76e902e5ddc36af0f92891bf1df00b5fb088fbe9fe2e0e61adb45cfe41bc

Aliases

arxiv: 2608.00095 · arxiv_version: 2608.00095v1 · doi: 10.48550/arxiv.2608.00095 · pith_short_12: HLHXN2IC4XO4 · pith_short_16: HLHXN2IC4XO4G2XQ · pith_short_8: HLHXN2IC

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/HLHXN2IC4XO4G2XQ7EUJDPY56A \
  | 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: 3acf76e902e5ddc36af0f92891bf1df00b5fb088fbe9fe2e0e61adb45cfe41bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8a9ccb6679d4e087caa0bd440112337c6641292d6f5e7294e1e8603b7389876",
    "cross_cats_sorted": [
      "cs.PL"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-07-30T16:57:50Z",
    "title_canon_sha256": "47b0b23c2ad5aa629c41f2b1be8e98e2548657946ea0fa021633c90746903e15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00095",
    "kind": "arxiv",
    "version": 1
  }
}