Pith. sign in
Pith Number

pith:5BA6PXZX

pith:2022:5BA6PXZXJARWSRAENP3Y5EK7OH
not attested not anchored not stored refs pending

Cubes are dense in $(\infty,\infty)$-categories

Tim Campion

arxiv:2209.09376 v1 · 2022-09-19 · 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{5BA6PXZXJARWSRAENP3Y5EK7OH}

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.

Cited by

4 papers in Pith

An Oriented Street--Roberts Conjecture
Homology of higher categories
Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories
The Algebra of Categorical Spectra
Receipt and verification
First computed 2026-07-05T04:58:59.041356Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e841e7df3748236944046bf78e915f71c300723a0e15729fae56d9c1fb463d77

Aliases

arxiv: 2209.09376 · arxiv_version: 2209.09376v1 · doi: 10.48550/arxiv.2209.09376 · pith_short_12: 5BA6PXZXJARW · pith_short_16: 5BA6PXZXJARWSRAE · pith_short_8: 5BA6PXZX
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/5BA6PXZXJARWSRAENP3Y5EK7OH \
  | 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: e841e7df3748236944046bf78e915f71c300723a0e15729fae56d9c1fb463d77
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "625623f6959b2bc62fc28810ff61c96245cd33e647e3267c6fbe6b6729e2f1c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2022-09-19T23:07:52Z",
    "title_canon_sha256": "2f3df0b222b4af7861aac535b62b955236d3ecde6ecaed1aa3f1dfabf46ed2ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.09376",
    "kind": "arxiv",
    "version": 1
  }
}