Pith Number

pith:FIFISFN3

pith:2009:FIFISFN3EW5MVHHSDULSGPU2F4

not attested not anchored not stored refs pending

Model-theoretic independence in the Banach lattices $L_p(\mu)$

Alexander Berenstein (ICJ), C. Ward Henson (UIUC), Ita\"i Ben Yaacov (ICJ)

arxiv:0907.5273 v1 · 2009-07-30 · 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{FIFISFN3EW5MVHHSDULSGPU2F4}

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	2026-05-18T02:59:48.856635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a0a8915bb25baca9cf21d17233e9a2f0aac022ead188a6f421bad3a552dd139

Aliases

arxiv: 0907.5273 · arxiv_version: 0907.5273v1 · doi: 10.48550/arxiv.0907.5273 · pith_short_12: FIFISFN3EW5M · pith_short_16: FIFISFN3EW5MVHHS · pith_short_8: FIFISFN3

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/FIFISFN3EW5MVHHSDULSGPU2F4 \
  | 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: 2a0a8915bb25baca9cf21d17233e9a2f0aac022ead188a6f421bad3a552dd139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b753a5515bf12bef19db0f837222feadf5f9a6d41909c3ac20e35b798c608a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2009-07-30T08:04:00Z",
    "title_canon_sha256": "d1355cc2501231c4f61e071a5803fa46f4a94053dd42d5f519d7ef16eb9e6ff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5273",
    "kind": "arxiv",
    "version": 1
  }
}