Pith Number

pith:E3X5Y27Z

pith:2016:E3X5Y27ZL2WYROKCUST4MVX7G2

not attested not anchored not stored refs pending

On embeddings of finite subsets of $\ell_2$

James Kilbane

arxiv:1609.08971 v2 · 2016-09-28 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3X5Y27ZL2WYROKCUST4MVX7G2}

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	2026-05-18T01:03:40.291912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26efdc6bf95ead88b942a4a7c656ff36817340d04f66597fa9bcff2648cdd300

Aliases

arxiv: 1609.08971 · arxiv_version: 1609.08971v2 · doi: 10.48550/arxiv.1609.08971 · pith_short_12: E3X5Y27ZL2WY · pith_short_16: E3X5Y27ZL2WYROKC · pith_short_8: E3X5Y27Z

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/E3X5Y27ZL2WYROKCUST4MVX7G2 \
  | 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: 26efdc6bf95ead88b942a4a7c656ff36817340d04f66597fa9bcff2648cdd300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "668be87c390dfd7903e2b7745dc6c0532e45e9335ffba73abc799f72c5981dd7",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-28T15:43:31Z",
    "title_canon_sha256": "b384e798c9e605c747087478e0bdfeb264ccc030d7f34e9faf2c8bcd455fd728"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08971",
    "kind": "arxiv",
    "version": 2
  }
}