Pith Number

pith:PWQOOC3T

pith:2016:PWQOOC3T3KPHTXZVXPEHLK2Y36

not attested not anchored not stored refs pending

On coarse Lipschitz embeddability into $c_0(\kappa)$

Andrew Swift

arxiv:1611.04623 v2 · 2016-11-14 · 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{PWQOOC3T3KPHTXZVXPEHLK2Y36}

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	2026-05-18T00:32:14.402974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7da0e70b73da9e79df35bbc875ab58dfaded52d21a3769104fd3a93299078861

Aliases

arxiv: 1611.04623 · arxiv_version: 1611.04623v2 · doi: 10.48550/arxiv.1611.04623 · pith_short_12: PWQOOC3T3KPH · pith_short_16: PWQOOC3T3KPHTXZV · pith_short_8: PWQOOC3T

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/PWQOOC3T3KPHTXZVXPEHLK2Y36 \
  | 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: 7da0e70b73da9e79df35bbc875ab58dfaded52d21a3769104fd3a93299078861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "505f87a47dd856812a9904bb16778822af0c1a75cb20a5d2e786e0c4e2312b6c",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-14T21:09:48Z",
    "title_canon_sha256": "a1a2175996132bb335cb4b10ac2267ac5f2c32dce2c4f23416ff1e6dff440718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04623",
    "kind": "arxiv",
    "version": 2
  }
}