Pith Number

pith:TSJK7K5P

pith:2011:TSJK7K5PNJMW6CSDQU3UWPPT4R

not attested not anchored not stored refs pending

Completely dissociative groupoids

David Hobby, Donald Silberger, Milton S. Braitt

arxiv:1111.4665 v1 · 2011-11-20 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TSJK7K5PNJMW6CSDQU3UWPPT4R}

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	2026-05-18T04:08:02.870711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c92afabaf6a596f0a4385374b3df3e45f2f58801da7e836242ec7e512c80fa3

Aliases

arxiv: 1111.4665 · arxiv_version: 1111.4665v1 · doi: 10.48550/arxiv.1111.4665 · pith_short_12: TSJK7K5PNJMW · pith_short_16: TSJK7K5PNJMW6CSD · pith_short_8: TSJK7K5P

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/TSJK7K5PNJMW6CSDQU3UWPPT4R \
  | 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: 9c92afabaf6a596f0a4385374b3df3e45f2f58801da7e836242ec7e512c80fa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "876d0d296f2e23f091d888cecdc8b3e2c44fb3204c0a433b6b6ff10947857a86",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-20T19:10:47Z",
    "title_canon_sha256": "6b60dd39e3440ce3a326038d86b4174a88eb9b75f3264321ff908eba28e30c97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4665",
    "kind": "arxiv",
    "version": 1
  }
}