Pith Number

pith:DDXMYSZ6

pith:2025:DDXMYSZ6KUMBCUJ63RI43ZDPBH

not attested not anchored not stored refs pending

Boundary quotients of C$^*$-algebras of left cancellative monoids and their groupoid models

Gaute Schwartz

arxiv:2507.10168 v1 · 2025-07-14 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDXMYSZ6KUMBCUJ63RI43ZDPBH}

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	2026-07-05T11:36:46.276783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18eecc4b3e551811513edc51cde46f09c339800ae7f10ddfe1db90cb90af1f8a

Aliases

arxiv: 2507.10168 · arxiv_version: 2507.10168v1 · doi: 10.48550/arxiv.2507.10168 · pith_short_12: DDXMYSZ6KUMB · pith_short_16: DDXMYSZ6KUMBCUJ6 · pith_short_8: DDXMYSZ6

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/DDXMYSZ6KUMBCUJ63RI43ZDPBH \
  | 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: 18eecc4b3e551811513edc51cde46f09c339800ae7f10ddfe1db90cb90af1f8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b4655d695091b962888bd66e23007c00fb948898e16590c9077558b70b9e7ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-07-14T11:29:13Z",
    "title_canon_sha256": "72b3017ba99490ea2f657a66cc8ce07bb2d619f4be36547d539df9e0a971c422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10168",
    "kind": "arxiv",
    "version": 1
  }
}