Pith Number

pith:HGGQCJ2Q

pith:2025:HGGQCJ2QVWWWDV5HX5E4CWD5CR

not attested not anchored not stored refs pending

On generalized morphisms associated to endofunctors of C*-algebras

Georgii S. Makeev

arxiv:2509.02001 v1 · 2025-09-02 · 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{HGGQCJ2QVWWWDV5HX5E4CWD5CR}

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	2026-07-05T12:03:12.620718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

398d012750adad61d7a7bf49c1587d146f17384af55ea6acff865bcd64a02c47

Aliases

arxiv: 2509.02001 · arxiv_version: 2509.02001v1 · doi: 10.48550/arxiv.2509.02001 · pith_short_12: HGGQCJ2QVWWW · pith_short_16: HGGQCJ2QVWWWDV5H · pith_short_8: HGGQCJ2Q

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/HGGQCJ2QVWWWDV5HX5E4CWD5CR \
  | 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: 398d012750adad61d7a7bf49c1587d146f17384af55ea6acff865bcd64a02c47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5a537187f9cc634643607ce85fb13e78e6484958ea784980ac41021c2316e00",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-09-02T06:28:26Z",
    "title_canon_sha256": "41ce3f0601784da539eb13eb2baeb685cc52d599b11a31efd6a91f5671913980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02001",
    "kind": "arxiv",
    "version": 1
  }
}