Pith Number

pith:R4Z5EJMF

pith:2026:R4Z5EJMFV7PHYQLRFWTSPH5T7W

not attested not anchored not stored refs pending

A higher-order Eckmann-Hilton argument

Alexander S. Corner, Eugenia Cheng

arxiv:2606.12357 v1 · 2026-06-10 · 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{R4Z5EJMFV7PHYQLRFWTSPH5T7W}

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	2026-06-11T02:09:48.079384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f33d22585afde7c41712da7279fb3fd8364c5fddf10e597af7d62b7d290a124

Aliases

arxiv: 2606.12357 · arxiv_version: 2606.12357v1 · doi: 10.48550/arxiv.2606.12357 · pith_short_12: R4Z5EJMFV7PH · pith_short_16: R4Z5EJMFV7PHYQLR · pith_short_8: R4Z5EJMF

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/R4Z5EJMFV7PHYQLRFWTSPH5T7W \
  | 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: 8f33d22585afde7c41712da7279fb3fd8364c5fddf10e597af7d62b7d290a124

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8944e3b8744231f2b73962bd8e5f1e9f00013bdfe0e5b906ebc7d02c740435df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-06-10T17:29:12Z",
    "title_canon_sha256": "903486122355493e4522a1259871677f0b587c04ec88d3720d5a6926ddbcaaca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12357",
    "kind": "arxiv",
    "version": 1
  }
}