Pith Number

pith:AGMGD3G4

pith:2010:AGMGD3G4TJHG4PHE53WH2KMRPG

not attested not anchored not stored refs pending

The Gateaux Derivative and Integral over Banach Algebra

Aleks Kleyn

arxiv:1006.2597 v2 · 2010-06-14 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AGMGD3G4TJHG4PHE53WH2KMRPG}

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	2026-05-18T04:03:07.365280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

019861ecdc9a4e6e3ce4eeec7d299179bf01a5b818e7f5242a704720d4b2a04c

Aliases

arxiv: 1006.2597 · arxiv_version: 1006.2597v2 · doi: 10.48550/arxiv.1006.2597 · pith_short_12: AGMGD3G4TJHG · pith_short_16: AGMGD3G4TJHG4PHE · pith_short_8: AGMGD3G4

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/AGMGD3G4TJHG4PHE53WH2KMRPG \
  | 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: 019861ecdc9a4e6e3ce4eeec7d299179bf01a5b818e7f5242a704720d4b2a04c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19973e562eb9e1b4600e3f8e31a5e9a35908a84a798e29692dd44393762c51b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-06-14T05:04:55Z",
    "title_canon_sha256": "ad8890dc177ab69d9a4a2d476ec016fe54b044a3706f73c18d0647b01f941946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2597",
    "kind": "arxiv",
    "version": 2
  }
}