Pith. sign in
Pith Number

pith:YSMAAWKC

pith:2024:YSMAAWKCU4JT54UTXTS3K4AKFM
not attested not anchored not stored refs pending

Absolutely dilatable bimodule maps

Alexandros Chatzinikolaou, Ivan G. Todorov, Lyudmila Turowska

arxiv:2411.08086 v2 · 2024-11-12 · math.OA · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YSMAAWKCU4JT54UTXTS3K4AKFM}

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 2026-07-05T10:53:13.211404Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c498005942a7133ef293bce5b5700a2b3eb7edbbaaff225140a1e0298a1f1865

Aliases

arxiv: 2411.08086 · arxiv_version: 2411.08086v2 · doi: 10.48550/arxiv.2411.08086 · pith_short_12: YSMAAWKCU4JT · pith_short_16: YSMAAWKCU4JT54UT · pith_short_8: YSMAAWKC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YSMAAWKCU4JT54UTXTS3K4AKFM \
  | 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: c498005942a7133ef293bce5b5700a2b3eb7edbbaaff225140a1e0298a1f1865
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4e6f6b52a600ba727708ecbd3c8bacbd937408b70b608387e9d6502e7fcd8d42",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-11-12T18:28:46Z",
    "title_canon_sha256": "437f903b3e69ec6ccdb298ff6edde75d170fe8ae1336302aa3c8bd0c5629dd7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.08086",
    "kind": "arxiv",
    "version": 2
  }
}