Pith Number

pith:GKK23TNV

pith:2013:GKK23TNVELJZQLXXDLDGXR2WAI

not attested not anchored not stored refs pending

Homotopy locally presentable enriched categories

Jiri Rosicky, Stephen Lack

arxiv:1311.3712 v2 · 2013-11-15 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKK23TNVELJZQLXXDLDGXR2WAI}

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	2026-05-17T23:41:28.244926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3295adcdb522d3982ef71ac66bc75602093f490a6ea3fb6815145be5b62fba5b

Aliases

arxiv: 1311.3712 · arxiv_version: 1311.3712v2 · doi: 10.48550/arxiv.1311.3712 · pith_short_12: GKK23TNVELJZ · pith_short_16: GKK23TNVELJZQLXX · pith_short_8: GKK23TNV

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/GKK23TNVELJZQLXXDLDGXR2WAI \
  | 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: 3295adcdb522d3982ef71ac66bc75602093f490a6ea3fb6815145be5b62fba5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9b4a9a2f4acad293ada665f353cf72e5f93618d9d6c04caf7e61f99cee2df17",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-11-15T02:54:23Z",
    "title_canon_sha256": "b8c87c596e5136bca67ad2dc13b6ca6895852d36f6ba8cdab636990bd076796b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3712",
    "kind": "arxiv",
    "version": 2
  }
}