Pith Number

pith:36BWWXIS

pith:2015:36BWWXISJB6OAKSKVPG7ODXIDB

not attested not anchored not stored refs pending

Locally Cartesian Closed Quasicategories from Type Theory

Chris Kapulkin

arxiv:1507.02648 v2 · 2015-07-09 · 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{36BWWXISJB6OAKSKVPG7ODXIDB}

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	2026-05-18T00:30:49.418202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df836b5d12487ce02a4aabcdf70ee8185e3b2ace1fec0b2a149b4f5045c15ba8

Aliases

arxiv: 1507.02648 · arxiv_version: 1507.02648v2 · doi: 10.48550/arxiv.1507.02648 · pith_short_12: 36BWWXISJB6O · pith_short_16: 36BWWXISJB6OAKSK · pith_short_8: 36BWWXIS

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/36BWWXISJB6OAKSKVPG7ODXIDB \
  | 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: df836b5d12487ce02a4aabcdf70ee8185e3b2ace1fec0b2a149b4f5045c15ba8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76270224d12cc76934150454d6110db33df488b708b0d7023b0cd5b7dded267f",
    "cross_cats_sorted": [
      "math.AT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-07-09T18:46:18Z",
    "title_canon_sha256": "51e31559e98d82bbfc089622e8c7d345691db058f0d9b84e627007fa9d1641f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02648",
    "kind": "arxiv",
    "version": 2
  }
}