Pith Number

pith:6KIDMU5E

pith:2017:6KIDMU5EFW3FYK2QAEYALQVJM4

not attested not anchored not stored refs pending

The $n$-linear embedding theorem for dyadic rectangles

Hitoshi Tanaka, Kozo Yabuta

arxiv:1710.08059 v1 · 2017-10-23 · 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{6KIDMU5EFW3FYK2QAEYALQVJM4}

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	2026-05-18T00:32:19.106222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2903653a42db65c2b50013005c2a9673b9d18feea3ef7206ec208fa8f433fc9

Aliases

arxiv: 1710.08059 · arxiv_version: 1710.08059v1 · doi: 10.48550/arxiv.1710.08059 · pith_short_12: 6KIDMU5EFW3F · pith_short_16: 6KIDMU5EFW3FYK2Q · pith_short_8: 6KIDMU5E

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/6KIDMU5EFW3FYK2QAEYALQVJM4 \
  | 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: f2903653a42db65c2b50013005c2a9673b9d18feea3ef7206ec208fa8f433fc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a577662d9afa3a1e9069f5e5f32296ed74bab1cfec53c9caf5d24b48947a0d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-10-23T01:50:02Z",
    "title_canon_sha256": "b73a33e4eee80feda3a4a20ed4675698eecc4b42b839ffffae6e3549b1920985"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08059",
    "kind": "arxiv",
    "version": 1
  }
}