Pith Number

pith:667XSFDC

pith:2023:667XSFDCVCUFPCCGLFTCUT5KX4

not attested not anchored not stored refs pending

The matched projections of idempotents on Hilbert $C^*$-modules

Chunhong Fu, Qingxiang Xu, Xiaoyi Tian

arxiv:2305.12984 v4 · 2023-05-22 · 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{667XSFDCVCUFPCCGLFTCUT5KX4}

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

Critical trajectories in kinetic geometry

Receipt and verification

First computed	2026-07-05T11:53:38.702450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7bf791462a8a857884659662a4faabf1735bdbfd2e97bbd4eebc3cc35c0fcc8

Aliases

arxiv: 2305.12984 · arxiv_version: 2305.12984v4 · doi: 10.48550/arxiv.2305.12984 · pith_short_12: 667XSFDCVCUF · pith_short_16: 667XSFDCVCUFPCCG · pith_short_8: 667XSFDC

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/667XSFDCVCUFPCCGLFTCUT5KX4 \
  | 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: f7bf791462a8a857884659662a4faabf1735bdbfd2e97bbd4eebc3cc35c0fcc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "867b9b6b87b36c1f3e752354cefa509ff818a731c4fd0e0946546f41682e0cdb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2023-05-22T12:44:26Z",
    "title_canon_sha256": "25ea0a189a875079cb13f6335ad8f687a6e17c23f8d1f905fbe9339cde93391a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.12984",
    "kind": "arxiv",
    "version": 4
  }
}