Pith Number

pith:23FTQUVN

pith:2025:23FTQUVNQ726OPYNUQGPMY2W4Z

not attested not anchored not stored refs pending

Lawvere's fourth open problem: Levels in the topos of symmetric simplicial sets

Ryuya Hora, Yuhi Kamio, Yuki Maehara

arxiv:2503.03439 v2 · 2025-03-05 · math.CT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{23FTQUVNQ726OPYNUQGPMY2W4Z}

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	2026-07-05T10:38:43.584402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6cb3852ad87f5e73f0da40cf66356e66ddc5d12a0f528d84ed028aff66d698c

Aliases

arxiv: 2503.03439 · arxiv_version: 2503.03439v2 · doi: 10.48550/arxiv.2503.03439 · pith_short_12: 23FTQUVNQ726 · pith_short_16: 23FTQUVNQ726OPYN · pith_short_8: 23FTQUVN

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/23FTQUVNQ726OPYNUQGPMY2W4Z \
  | 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: d6cb3852ad87f5e73f0da40cf66356e66ddc5d12a0f528d84ed028aff66d698c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a25290453fea6d2a6a7170d389b66ac800c13bf2a46358418df1353f5630677b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-03-05T12:15:44Z",
    "title_canon_sha256": "bfd5552d4362ff5072919e2482c92c004801de6770922fbf7991f1ba3c74d803"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.03439",
    "kind": "arxiv",
    "version": 2
  }
}