Pith Number

pith:KWDW6XUU

pith:2009:KWDW6XUU2VPDHMSY2G4NZVUP43

not attested not anchored not stored refs pending

Hardy type derivations on generalized series fields

Mickael Matusinski, Salma Kuhlmann

arxiv:0903.2197 v4 · 2009-03-12 · math.AC · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KWDW6XUU2VPDHMSY2G4NZVUP43}

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	2026-05-18T04:01:26.751928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55876f5e94d55e33b258d1b8dcd68fe6c1a796360aa603d9b6c64bd699be3ea9

Aliases

arxiv: 0903.2197 · arxiv_version: 0903.2197v4 · doi: 10.48550/arxiv.0903.2197 · pith_short_12: KWDW6XUU2VPD · pith_short_16: KWDW6XUU2VPDHMSY · pith_short_8: KWDW6XUU

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/KWDW6XUU2VPDHMSY2G4NZVUP43 \
  | 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: 55876f5e94d55e33b258d1b8dcd68fe6c1a796360aa603d9b6c64bd699be3ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20e64467711e2b079758d3b8959bdee2735a4207d5c8239dc32d477bed79a1cd",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-03-12T17:23:33Z",
    "title_canon_sha256": "3aa9354b359fd4866f9781f9dd4a7ed44caed74b38ae14407039b686863412f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2197",
    "kind": "arxiv",
    "version": 4
  }
}