Pith Number

pith:CGG7ORWP

pith:2021:CGG7ORWP7MOY6KKW55DX7WGCMU

not attested not anchored not stored refs pending

Faithful tracial states on quotients of C*-algebras

Henning Olai Milh{\o}j

arxiv:2111.09703 v1 · 2021-11-18 · 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{CGG7ORWP7MOY6KKW55DX7WGCMU}

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	2026-07-05T03:33:14.385671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

118df746cffb1d8f2956ef477fd8c2650b0cbce3211870ee2ad18b9bf4af7efe

Aliases

arxiv: 2111.09703 · arxiv_version: 2111.09703v1 · doi: 10.48550/arxiv.2111.09703 · pith_short_12: CGG7ORWP7MOY · pith_short_16: CGG7ORWP7MOY6KKW · pith_short_8: CGG7ORWP

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/CGG7ORWP7MOY6KKW55DX7WGCMU \
  | 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: 118df746cffb1d8f2956ef477fd8c2650b0cbce3211870ee2ad18b9bf4af7efe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf976f26d81025962f1a32650d7d9531714ff354e507c4b682870d5f9be88d40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2021-11-18T14:09:15Z",
    "title_canon_sha256": "104f9fd1e0d0d3f61411e655e0ca3117b1058139bef97b0765a97922b4ad6e3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.09703",
    "kind": "arxiv",
    "version": 1
  }
}