Pith Number

pith:WQUCDXTY

pith:2015:WQUCDXTY5N433D5HOZNAWLTWLX

not attested not anchored not stored refs pending

Correspondences between model theory and Banach space theory

Karim Khanaki

arxiv:1512.08691 v2 · 2015-12-29 · math.LO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQUCDXTY5N433D5HOZNAWLTWLX}

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	2026-05-17T23:58:59.508055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b42821de78eb79bd8fa7765a0b2e765dcb36021f8d73b47b5ba889d507f1563b

Aliases

arxiv: 1512.08691 · arxiv_version: 1512.08691v2 · doi: 10.48550/arxiv.1512.08691 · pith_short_12: WQUCDXTY5N43 · pith_short_16: WQUCDXTY5N433D5H · pith_short_8: WQUCDXTY

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/WQUCDXTY5N433D5HOZNAWLTWLX \
  | 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: b42821de78eb79bd8fa7765a0b2e765dcb36021f8d73b47b5ba889d507f1563b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02bd2362cb8afb96161e78380748acb79f1aaf3466101870294868d697312e0b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-12-29T14:27:16Z",
    "title_canon_sha256": "9cb6112d19fba4f5c930f8ebe2e3e52170e78c6c2d0423b8791206ce5aef12dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08691",
    "kind": "arxiv",
    "version": 2
  }
}