Pith Number

pith:5C2JVHQV

pith:2017:5C2JVHQVOXP2Y75W5OJFX5HNIO

not attested not anchored not stored refs pending

Symmetric Implication Zroupoids and Weak Associative Laws

Hanamantagouda P. Sankappanavar, Juan M. Cornejo

arxiv:1710.10408 v1 · 2017-10-28 · 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{5C2JVHQVOXP2Y75W5OJFX5HNIO}

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	2026-05-18T00:31:49.613423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8b49a9e1575dfac7fb6eb925bf4ed43a98ec4db799579681d9fe74e884462a3

Aliases

arxiv: 1710.10408 · arxiv_version: 1710.10408v1 · doi: 10.48550/arxiv.1710.10408 · pith_short_12: 5C2JVHQVOXP2 · pith_short_16: 5C2JVHQVOXP2Y75W · pith_short_8: 5C2JVHQV

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/5C2JVHQVOXP2Y75W5OJFX5HNIO \
  | 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: e8b49a9e1575dfac7fb6eb925bf4ed43a98ec4db799579681d9fe74e884462a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b07fcc93a987b3ee6d5b5603b0f9d2e22b325b7eec31774ec212a713910e618f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-10-28T07:29:16Z",
    "title_canon_sha256": "81efce27db553a80eea8a4eb509167e6ab402df0fc14172c37836609671de056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10408",
    "kind": "arxiv",
    "version": 1
  }
}