Pith Number

pith:NKL3H5RE

pith:2017:NKL3H5RESKP347IHNBY23K3MW2

not attested not anchored not stored refs pending

Sharp finiteness principles for Lipschitz selections: long version

Charles Fefferman, Pavel Shvartsman

arxiv:1708.00811 v2 · 2017-08-02 · 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{NKL3H5RESKP347IHNBY23K3MW2}

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	2026-05-18T00:32:20.260854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a97b3f624929fbe7d076871adab6cb6be66d777f01bb47dc82d9ca284224f04

Aliases

arxiv: 1708.00811 · arxiv_version: 1708.00811v2 · doi: 10.48550/arxiv.1708.00811 · pith_short_12: NKL3H5RESKP3 · pith_short_16: NKL3H5RESKP347IH · pith_short_8: NKL3H5RE

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/NKL3H5RESKP347IHNBY23K3MW2 \
  | 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: 6a97b3f624929fbe7d076871adab6cb6be66d777f01bb47dc82d9ca284224f04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2be388f374de3b3b01511f9c9de86dfdf6903e5308640261f3b76abf9e0c432",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-02T16:15:36Z",
    "title_canon_sha256": "e525102c51fc2b26b6ee437c0b35629869cbfb10bbbef649c369b9597c7b3af4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00811",
    "kind": "arxiv",
    "version": 2
  }
}