Pith Number

pith:N3YZ6ROY

pith:2026:N3YZ6ROYR6WU4EPAKLVJQTQMQS

not attested not anchored not stored refs pending

Directed proof-relevant logical relations in simplicial HoTT

Harrison Grodin, Robert Harper, Runming Li

arxiv:2607.08154 v1 · 2026-07-09 · 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{N3YZ6ROYR6WU4EPAKLVJQTQMQS}

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	2026-07-10T01:19:28.162519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ef19f45d88fad4e11e052ea984e0c84ab8f8ddf24b4428b27868976ea230458

Aliases

arxiv: 2607.08154 · arxiv_version: 2607.08154v1 · doi: 10.48550/arxiv.2607.08154 · pith_short_12: N3YZ6ROYR6WU · pith_short_16: N3YZ6ROYR6WU4EPA · pith_short_8: N3YZ6ROY

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/N3YZ6ROYR6WU4EPAKLVJQTQMQS \
  | 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: 6ef19f45d88fad4e11e052ea984e0c84ab8f8ddf24b4428b27868976ea230458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da13a06f0f0b41037e80a8eecc0468a8c649eb410c5a0d1ba2716a55b1f539f2",
    "cross_cats_sorted": [
      "cs.PL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-07-09T06:49:13Z",
    "title_canon_sha256": "ee2045cbd1846aab33366954342a43d1bafacb8f36621d897087b0a75ee021a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08154",
    "kind": "arxiv",
    "version": 1
  }
}