Pith Number

pith:UW2TSIMW

pith:2015:UW2TSIMW6SX4UPHIWG73YD7COD

not attested not anchored not stored refs pending

Non-commutative groupoids obtained from the failure of $3$-uniqueness in stable theories

Byunghan Kim, Junguk Lee, Sunyoung Kim

arxiv:1504.07731 v1 · 2015-04-29 · 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{UW2TSIMW6SX4UPHIWG73YD7COD}

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	2026-05-18T02:17:32.401685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5b5392196f4afca3ce8b1bfbc0fe270dea3053072b57e754df3cb5d006c6eb4

Aliases

arxiv: 1504.07731 · arxiv_version: 1504.07731v1 · doi: 10.48550/arxiv.1504.07731 · pith_short_12: UW2TSIMW6SX4 · pith_short_16: UW2TSIMW6SX4UPHI · pith_short_8: UW2TSIMW

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/UW2TSIMW6SX4UPHIWG73YD7COD \
  | 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: a5b5392196f4afca3ce8b1bfbc0fe270dea3053072b57e754df3cb5d006c6eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b18385d9984bb23af66fa15880b661597ec474454c55f498898cd6b557534ab1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-04-29T06:13:29Z",
    "title_canon_sha256": "b2d0cc73b7d9d98a0f0b317ce4d991769025a93167bf337fe78be3213eae1faf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07731",
    "kind": "arxiv",
    "version": 1
  }
}