Pith Number

pith:YWX3V3E4

pith:2014:YWX3V3E4KA66HXQEFWYKCUCBNM

not attested not anchored not stored refs pending

Lipschitz retraction of finite subsets of Hilbert spaces

Leonid V. Kovalev

arxiv:1406.6742 v2 · 2014-06-26 · 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{YWX3V3E4KA66HXQEFWYKCUCBNM}

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	2026-05-18T01:23:40.241436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5afbaec9c503de3de042db0a150416b1da34e8137d120d35c0664717dfcf36f

Aliases

arxiv: 1406.6742 · arxiv_version: 1406.6742v2 · doi: 10.48550/arxiv.1406.6742 · pith_short_12: YWX3V3E4KA66 · pith_short_16: YWX3V3E4KA66HXQE · pith_short_8: YWX3V3E4

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/YWX3V3E4KA66HXQEFWYKCUCBNM \
  | 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: c5afbaec9c503de3de042db0a150416b1da34e8137d120d35c0664717dfcf36f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07d81506b9effb7d6218a60f42d2a63e203c591fab73ce9e5929da1a0da13bc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-06-26T01:08:11Z",
    "title_canon_sha256": "1b14eebdf5e3928f3533960b480d4ab06bed3cdff4bd529a000e93973708ebcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6742",
    "kind": "arxiv",
    "version": 2
  }
}