Pith Number

pith:HHK7N5PD

pith:2018:HHK7N5PDYTWPXORS52FEIAKE5N

not attested not anchored not stored refs pending

The $BP\langle 2 \rangle$-cooperations at odd primes

Dominic Culver

arxiv:1809.06898 v1 · 2018-09-18 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHK7N5PDYTWPXORS52FEIAKE5N}

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	2026-05-18T00:05:21.207493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d5f6f5e3c4ecfbba32ee8a440144eb7210ed811932b60df97563ef0272e35f

Aliases

arxiv: 1809.06898 · arxiv_version: 1809.06898v1 · doi: 10.48550/arxiv.1809.06898 · pith_short_12: HHK7N5PDYTWP · pith_short_16: HHK7N5PDYTWPXORS · pith_short_8: HHK7N5PD

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/HHK7N5PDYTWPXORS52FEIAKE5N \
  | 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: 39d5f6f5e3c4ecfbba32ee8a440144eb7210ed811932b60df97563ef0272e35f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f33788ec02177751560a780fc6aa5ef4d7ebb88b6629180034861ceaf0fb8a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-09-18T19:26:55Z",
    "title_canon_sha256": "2003f84714272fb2ebe23ea381e4095d283611db991c498b5ec89d7838a70aa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06898",
    "kind": "arxiv",
    "version": 1
  }
}