Pith Number

pith:CN4UOWLR

pith:2016:CN4UOWLRPXTUBLY4IMW4O7NMCA

not attested not anchored not stored refs pending

Permutations, power operations, and the center of the category of racks

Markus Szymik

arxiv:1609.08687 v1 · 2016-09-27 · math.GT · math.AT · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CN4UOWLRPXTUBLY4IMW4O7NMCA}

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	2026-05-18T00:17:24.497826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13794759717de740af1c432dc77dac102c915444cc16f0b2d490e9268780f1f8

Aliases

arxiv: 1609.08687 · arxiv_version: 1609.08687v1 · doi: 10.48550/arxiv.1609.08687 · pith_short_12: CN4UOWLRPXTU · pith_short_16: CN4UOWLRPXTUBLY4 · pith_short_8: CN4UOWLR

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/CN4UOWLRPXTUBLY4IMW4O7NMCA \
  | 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: 13794759717de740af1c432dc77dac102c915444cc16f0b2d490e9268780f1f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16c8f80a5a99fdded29f5c457100b076f4ea46951479ee19655065661f0bd85e",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-09-27T22:08:38Z",
    "title_canon_sha256": "5462bf31c631352f8c40d823ce64efdf715c251f13b13d48cf63008fac23b790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08687",
    "kind": "arxiv",
    "version": 1
  }
}