Pith Number

pith:ZQ5RACKH

pith:2017:ZQ5RACKH3USFQ2MZI32WXCBI6C

not attested not anchored not stored refs pending

Internal Languages of Finitely Complete $(\infty, 1)$-categories

Chris Kapulkin, Karol Szumi{\l}o

arxiv:1709.09519 v2 · 2017-09-27 · math.CT · math.AT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQ5RACKH3USFQ2MZI32WXCBI6C}

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	2026-05-17T23:49:28.020979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc3b100947dd2458699946f56b8828f0b5cec6ca379d1cfde67d07d2fb332354

Aliases

arxiv: 1709.09519 · arxiv_version: 1709.09519v2 · doi: 10.48550/arxiv.1709.09519 · pith_short_12: ZQ5RACKH3USF · pith_short_16: ZQ5RACKH3USFQ2MZ · pith_short_8: ZQ5RACKH

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/ZQ5RACKH3USFQ2MZI32WXCBI6C \
  | 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: cc3b100947dd2458699946f56b8828f0b5cec6ca379d1cfde67d07d2fb332354

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd1a3ce984f4974997f1397681cf410999c5fb0773c916b22a1e80f0f307b9a",
    "cross_cats_sorted": [
      "math.AT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-09-27T13:50:19Z",
    "title_canon_sha256": "ef929a126a5e78d46de0772d90b8d89d63d71997cb88730cb89c22616a6ad498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09519",
    "kind": "arxiv",
    "version": 2
  }
}