Pith Number

pith:N7F3JJC4

pith:2015:N7F3JJC4B4DJFESQLI273LN5GW

not attested not anchored not stored refs pending

Groupoids Determined by Involutive Automorphisms on Semilattices of Groups

R. A. R. Monzo

arxiv:1503.07403 v2 · 2015-03-01 · 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{N7F3JJC4B4DJFESQLI273LN5GW}

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	2026-05-18T00:43:13.607845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fcbb4a45c0f069292505a35fdadbd35a04f49eb59ea8eade7614dbe945d14be

Aliases

arxiv: 1503.07403 · arxiv_version: 1503.07403v2 · doi: 10.48550/arxiv.1503.07403 · pith_short_12: N7F3JJC4B4DJ · pith_short_16: N7F3JJC4B4DJFESQ · pith_short_8: N7F3JJC4

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/N7F3JJC4B4DJFESQLI273LN5GW \
  | 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: 6fcbb4a45c0f069292505a35fdadbd35a04f49eb59ea8eade7614dbe945d14be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93998815e3ffbb5be7495d0f0b1b416a932ca8ed408b18b9cf89f0e3b90582de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-03-01T19:43:36Z",
    "title_canon_sha256": "467c31625fe4399d4803e7824e56d2071c1e9d02b3cec2d42149ccfa1119f9ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07403",
    "kind": "arxiv",
    "version": 2
  }
}