Pith Number

pith:5TOFK5W2

pith:2014:5TOFK5W2JQXKMDU5Z3F6WCWXRD

not attested not anchored not stored refs pending

Two Models for the Homotopy Theory of Cocomplete Homotopy Theories

Karol Szumi{\l}o

arxiv:1411.0303 v1 · 2014-11-02 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TOFK5W2JQXKMDU5Z3F6WCWXRD}

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	2026-05-18T02:38:52.032633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecdc5576da4c2ea60e9dcecbeb0ad788d197760a9facc86dea11ecbf40a267aa

Aliases

arxiv: 1411.0303 · arxiv_version: 1411.0303v1 · doi: 10.48550/arxiv.1411.0303 · pith_short_12: 5TOFK5W2JQXK · pith_short_16: 5TOFK5W2JQXKMDU5 · pith_short_8: 5TOFK5W2

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/5TOFK5W2JQXKMDU5Z3F6WCWXRD \
  | 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: ecdc5576da4c2ea60e9dcecbeb0ad788d197760a9facc86dea11ecbf40a267aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a8ceaf883fd1d35db12d7a7b51afa4219b8759affb538ea8b0dca3f043805a2",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-11-02T19:43:25Z",
    "title_canon_sha256": "a9a0781bc8fcb196656a28955d29fc377fd65b836b20dfe354c01b31c1874f40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0303",
    "kind": "arxiv",
    "version": 1
  }
}