Pith Number

pith:XEP4KJCO

pith:2009:XEP4KJCOL67ZXPV6AAGHJPFPI7

not attested not anchored not stored refs pending

The Gateaux Derivative of Map over Division Ring

Aleks Kleyn

arxiv:0908.3307 v1 · 2009-08-23 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEP4KJCOL67ZXPV6AAGHJPFPI7}

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	2026-05-18T03:50:11.205831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91fc5244e5fbf9bbebe000c74bcaf47c664e080f2cc4b232a8727a471a83962

Aliases

arxiv: 0908.3307 · arxiv_version: 0908.3307v1 · doi: 10.48550/arxiv.0908.3307 · pith_short_12: XEP4KJCOL67Z · pith_short_16: XEP4KJCOL67ZXPV6 · pith_short_8: XEP4KJCO

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/XEP4KJCOL67ZXPV6AAGHJPFPI7 \
  | 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: b91fc5244e5fbf9bbebe000c74bcaf47c664e080f2cc4b232a8727a471a83962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46448cf60b6e44b7306eb057b4e99f24a12a79bb2e4c55f193f8b657ebb47edf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2009-08-23T15:18:40Z",
    "title_canon_sha256": "a7885eb9b4feb5d6588bd41394ca4182701408e3da6b14fd166e2e100680a172"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3307",
    "kind": "arxiv",
    "version": 1
  }
}