Pith Number

pith:YDOG6VKD

pith:2019:YDOG6VKDI46GT53XU3KXY2CFL2

not attested not anchored not stored refs pending

The tight groupoid of the inverse semigroups of left cancellative small categories

Eduard Ortega, Enrique Pardo

arxiv:1906.07487 v1 · 2019-06-18 · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YDOG6VKDI46GT53XU3KXY2CFL2}

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	2026-05-17T23:43:07.793912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0dc6f5543473c69f777a6d57c68455e8183d9e2ab2ac95f7daf249f28417721

Aliases

arxiv: 1906.07487 · arxiv_version: 1906.07487v1 · doi: 10.48550/arxiv.1906.07487 · pith_short_12: YDOG6VKDI46G · pith_short_16: YDOG6VKDI46GT53X · pith_short_8: YDOG6VKD

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/YDOG6VKDI46GT53XU3KXY2CFL2 \
  | 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: c0dc6f5543473c69f777a6d57c68455e8183d9e2ab2ac95f7daf249f28417721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fc7c3810ebc327adbf27f567c88ed4759114be920b2f08db8801c7baeda68fb",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-06-18T10:35:14Z",
    "title_canon_sha256": "faf417b30d4811ea25ed338c643875a8af2d3505a55901ec05d5c81c658c37cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07487",
    "kind": "arxiv",
    "version": 1
  }
}