Pith Number

pith:PKGCOXQV

pith:2024:PKGCOXQVVAIH6QGA3I5SVD435A

not attested not anchored not stored refs pending

B-Fredholm theory in Banach algebras

Qingping Zeng, Yunnan Zhang, Zhenying Wu

arxiv:2402.00574 v1 · 2024-02-01 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKGCOXQVVAIH6QGA3I5SVD435A}

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	2026-07-05T07:40:13.967434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a8c275e15a8107f40c0da3b2a8f9be83c652a2d5eb033c8702c77c766c442aa

Aliases

arxiv: 2402.00574 · arxiv_version: 2402.00574v1 · doi: 10.48550/arxiv.2402.00574 · pith_short_12: PKGCOXQVVAIH · pith_short_16: PKGCOXQVVAIH6QGA · pith_short_8: PKGCOXQV

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/PKGCOXQVVAIH6QGA3I5SVD435A \
  | 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: 7a8c275e15a8107f40c0da3b2a8f9be83c652a2d5eb033c8702c77c766c442aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31cc171cd1df10387f163543656e84c411c5f499ed01129b7f9207ccbf01eb72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-02-01T13:12:58Z",
    "title_canon_sha256": "fb7d5e3061bf6649955d5c64b28b0cba682d450a0f7ea23b0d133552eedc8aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.00574",
    "kind": "arxiv",
    "version": 1
  }
}