Pith Number

pith:JEWF7CJQ

pith:2018:JEWF7CJQUTPG2DIFZ46AUDZCE4

not attested not anchored not stored refs pending

A Lipschitz refinement of the Bebutov--Kakutani dynamical embedding theorem

Lei Jin, Masaki Tsukamoto, Yonatan Gutman

arxiv:1809.02039 v1 · 2018-09-06 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JEWF7CJQUTPG2DIFZ46AUDZCE4}

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	2026-05-17T23:50:24.068285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

492c5f8930a4de6d0d05cf3c0a0f22272ff79834048cbc248dd1984d5a04e5d3

Aliases

arxiv: 1809.02039 · arxiv_version: 1809.02039v1 · doi: 10.48550/arxiv.1809.02039 · pith_short_12: JEWF7CJQUTPG · pith_short_16: JEWF7CJQUTPG2DIF · pith_short_8: JEWF7CJQ

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/JEWF7CJQUTPG2DIFZ46AUDZCE4 \
  | 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: 492c5f8930a4de6d0d05cf3c0a0f22272ff79834048cbc248dd1984d5a04e5d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28de06d62e932fb113feb46159cb572440a9c0fb69051dd8a9fac1b990c71425",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-09-06T15:18:02Z",
    "title_canon_sha256": "b6bda9a2173f7f05741c2712fce30c8bdb429ce110478c32602a9ade2dd1b005"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02039",
    "kind": "arxiv",
    "version": 1
  }
}