Pith Number

pith:KXNBMTK6

pith:2020:KXNBMTK6IMMZIKZTFJPDCKIPWA

not attested not anchored not stored refs pending

Convergence of metric transformed spaces

Daisuke Kazukawa

arxiv:2008.04038 v1 · 2020-08-10 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KXNBMTK6IMMZIKZTFJPDCKIPWA}

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	2026-07-05T01:25:59.126927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55da164d5e4319942b332a5e31290fb01b78da9374744dd34e3636fb2ed709b9

Aliases

arxiv: 2008.04038 · arxiv_version: 2008.04038v1 · doi: 10.48550/arxiv.2008.04038 · pith_short_12: KXNBMTK6IMMZ · pith_short_16: KXNBMTK6IMMZIKZT · pith_short_8: KXNBMTK6

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/KXNBMTK6IMMZIKZTFJPDCKIPWA \
  | 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: 55da164d5e4319942b332a5e31290fb01b78da9374744dd34e3636fb2ed709b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7efbdd41ecb9ed7fa90a67cf0a104eca9cebe2ddafc27a014c168c91de23b2ad",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2020-08-10T11:51:18Z",
    "title_canon_sha256": "9ba68660cb3a15b2070e895b726a99bc89aae4ba8cca22346823120e94a56504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.04038",
    "kind": "arxiv",
    "version": 1
  }
}