Pith Number

pith:XDTKEJF5

pith:2021:XDTKEJF5N5LGJJXAFZPTLP4URG

not attested not anchored not stored refs pending

C*-dynamical invariants and Toeplitz algebras of graphs

Chris Bruce, Takuya Takeishi

arxiv:2103.02816 v1 · 2021-03-04 · 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{XDTKEJF5N5LGJJXAFZPTLP4URG}

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	2026-06-26T01:15:41.097513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8e6a224bd6f5664a6e02e5f35bf9489ac7ec29eed15a26a039dc2a62cdb7711

Aliases

arxiv: 2103.02816 · arxiv_version: 2103.02816v1 · doi: 10.48550/arxiv.2103.02816 · pith_short_12: XDTKEJF5N5LG · pith_short_16: XDTKEJF5N5LGJJXA · pith_short_8: XDTKEJF5

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/XDTKEJF5N5LGJJXAFZPTLP4URG \
  | 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: b8e6a224bd6f5664a6e02e5f35bf9489ac7ec29eed15a26a039dc2a62cdb7711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eefa437e295643def1a67e2eb2903022102dc21c09806620cf30acdc81a21d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2021-03-04T03:43:51Z",
    "title_canon_sha256": "7adb28a1dac95de43b0231c49ac8eff4648d4d47c3caca74db5675126f7c9d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.02816",
    "kind": "arxiv",
    "version": 1
  }
}