Pith Number

pith:I5KTIMRF

pith:2025:I5KTIMRFGYJJFLF2E2HGPKTA22

not attested not anchored not stored refs pending

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications

Mario Klisse

arxiv:2507.12271 v1 · 2025-07-16 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I5KTIMRFGYJJFLF2E2HGPKTA22}

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.

Cited by

1 paper in Pith

Quantum Metric Structures on Iwahori-Hecke Algebras

Receipt and verification

First computed	2026-07-05T11:38:17.618876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4755343225361292acba268e67aa60d68f383b6a62b9b4c8bd17c9829eda0a28

Aliases

arxiv: 2507.12271 · arxiv_version: 2507.12271v1 · doi: 10.48550/arxiv.2507.12271 · pith_short_12: I5KTIMRFGYJJ · pith_short_16: I5KTIMRFGYJJFLF2 · pith_short_8: I5KTIMRF

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/I5KTIMRFGYJJFLF2E2HGPKTA22 \
  | 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: 4755343225361292acba268e67aa60d68f383b6a62b9b4c8bd17c9829eda0a28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbdfb96b4fa7fa79741378477e627deb1d8195d4b748634bc8a15daf574669d1",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-07-16T14:21:06Z",
    "title_canon_sha256": "57071506f0f993c40589634246c578f4e282afdd0dac87b12418a8f99da4deb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12271",
    "kind": "arxiv",
    "version": 1
  }
}