Pith Number

pith:5EZPYBIQ

pith:2020:5EZPYBIQC276J3STPJQGSYKSP3

not attested not anchored not stored refs pending

An equivalence between enriched $\infty$-categories and $\infty$-categories with weak action

Hadrian Heine

arxiv:2009.02428 v5 · 2020-09-05 · 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{5EZPYBIQC276J3STPJQGSYKSP3}

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	2026-07-05T06:33:15.524844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e932fc051016bfe4ee537a606961527ee207ee1c0f14f4f370df60406b748a99

Aliases

arxiv: 2009.02428 · arxiv_version: 2009.02428v5 · doi: 10.48550/arxiv.2009.02428 · pith_short_12: 5EZPYBIQC276 · pith_short_16: 5EZPYBIQC276J3ST · pith_short_8: 5EZPYBIQ

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/5EZPYBIQC276J3STPJQGSYKSP3 \
  | 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: e932fc051016bfe4ee537a606961527ee207ee1c0f14f4f370df60406b748a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "961c91c6738c93d56d6b9e010754d6f259dd24f6fda78a4faa2277b6ce786608",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-09-05T01:08:54Z",
    "title_canon_sha256": "2dde25a5ab5d96477d5eee1d0fb4bf6908f086b3095947d6c8b43bf8905cc71e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.02428",
    "kind": "arxiv",
    "version": 5
  }
}