Pith Number

pith:4B5TYNSE

pith:2020:4B5TYNSEUEXXVTSM6SUI7CZ65J

not attested not anchored not stored refs pending

Commuting unbounded homotopy limits with Morava K-theory

Andrew Salch, Gabriel Angelini-Knoll

arxiv:2003.03510 v3 · 2020-03-07 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4B5TYNSEUEXXVTSM6SUI7CZ65J}

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

1 paper in Pith

A homological approach to chromatic complexity of algebraic K-theory

Receipt and verification

First computed	2026-07-05T11:16:46.619168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07b3c3644a12f7ace4cf4a88f8b3eea5fe330fa4cc5b66a08edb6301b3607cb

Aliases

arxiv: 2003.03510 · arxiv_version: 2003.03510v3 · doi: 10.48550/arxiv.2003.03510 · pith_short_12: 4B5TYNSEUEXX · pith_short_16: 4B5TYNSEUEXXVTSM · pith_short_8: 4B5TYNSE

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/4B5TYNSEUEXXVTSM6SUI7CZ65J \
  | 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: e07b3c3644a12f7ace4cf4a88f8b3eea5fe330fa4cc5b66a08edb6301b3607cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ba6e0f69002c56f06149c8374fec52f62deba82ce9e9f555ad4c922a50ebc0e",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-03-07T03:52:58Z",
    "title_canon_sha256": "8f7572c4940b6dda1be7b0f49a204424018fbac0daf7aa84f370d1e0e18041ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.03510",
    "kind": "arxiv",
    "version": 3
  }
}