Pith Number

pith:QKRFIUSF

pith:2013:QKRFIUSFS3S2KNM7BUN5IBV7EB

not attested not anchored not stored refs pending

Generalized Browder's and Weyl's Theorems for Generalized Derivations

Enrico Boasso, Mohamed Amouch

arxiv:1306.0499 v1 · 2013-06-03 · 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{QKRFIUSFS3S2KNM7BUN5IBV7EB}

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	2026-05-18T03:21:55.180387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82a254524596e5a5359f0d1bd406bf206ecd2b9276e34df20a7c1739b077a246

Aliases

arxiv: 1306.0499 · arxiv_version: 1306.0499v1 · doi: 10.48550/arxiv.1306.0499 · pith_short_12: QKRFIUSFS3S2 · pith_short_16: QKRFIUSFS3S2KNM7 · pith_short_8: QKRFIUSF

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/QKRFIUSFS3S2KNM7BUN5IBV7EB \
  | 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: 82a254524596e5a5359f0d1bd406bf206ecd2b9276e34df20a7c1739b077a246

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db335f1f242d6cd021272e6e21bd7fb02288f450eee4423c427ce4f06552113d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-03T17:00:29Z",
    "title_canon_sha256": "1bfeea535bec1d5ba010fe7d00efc00683f3934ccf58f7caa1579711634c80a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0499",
    "kind": "arxiv",
    "version": 1
  }
}