Pith Number

pith:5HKZF5UC

pith:2017:5HKZF5UCY5BDURVKGKFHLMFTYB

not attested not anchored not stored refs pending

Implication Zroupoids and Identities of Associative Type

Hanamantagouda P. Sankappanavar, Juan M. Cornejo

arxiv:1710.10559 v1 · 2017-10-29 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HKZF5UCY5BDURVKGKFHLMFTYB}

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	2026-05-18T00:31:47.128638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9d592f682c7423a46aa328a75b0b3c0556e2591602bdffc2c8a0f35fb3fe64a

Aliases

arxiv: 1710.10559 · arxiv_version: 1710.10559v1 · doi: 10.48550/arxiv.1710.10559 · pith_short_12: 5HKZF5UCY5BD · pith_short_16: 5HKZF5UCY5BDURVK · pith_short_8: 5HKZF5UC

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/5HKZF5UCY5BDURVKGKFHLMFTYB \
  | 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: e9d592f682c7423a46aa328a75b0b3c0556e2591602bdffc2c8a0f35fb3fe64a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40989ed5bf03433d9955a9ae726844c0dbc2176e0fcf7537ac9bf4e40beb8c61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-10-29T03:47:20Z",
    "title_canon_sha256": "6f8a0051e8718b60d55c724a9959df94188c31f5e087677f5f3e415f0b7ed308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10559",
    "kind": "arxiv",
    "version": 1
  }
}