Pith Number

pith:UNQZUSKU

pith:2001:UNQZUSKUGB6DMFIXCUV6T57KSM

not attested not anchored not stored refs pending

Functional Equations for Lexicographic Products

Franz--Viktor Kuhlmann, Saharon Shelah, Salma Kuhlmann

arxiv:math/0107206 v1 · 2001-07-29 · math.LO · 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{UNQZUSKUGB6DMFIXCUV6T57KSM}

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	2026-05-18T03:37:27.255462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3619a4954307c361517152be9f7ea930bca30684ef3181105c39c9e5974d353

Aliases

arxiv: math/0107206 · arxiv_version: math/0107206v1 · doi: 10.48550/arxiv.math/0107206 · pith_short_12: UNQZUSKUGB6D · pith_short_16: UNQZUSKUGB6DMFIX · pith_short_8: UNQZUSKU

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/UNQZUSKUGB6DMFIXCUV6T57KSM \
  | 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: a3619a4954307c361517152be9f7ea930bca30684ef3181105c39c9e5974d353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4e2563ca5b113b9c4ac33a98aa3c1733ffc9659febac621c583113ae99042a4",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2001-07-29T11:38:49Z",
    "title_canon_sha256": "5796361b7fdf248a86e2612246e48e66a9cd234c53435e19e12dde1edbbfcb0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107206",
    "kind": "arxiv",
    "version": 1
  }
}