Pith Number

pith:UTNRXCHC

pith:2017:UTNRXCHCNRHEVALWJ4H7K6WZBA

not attested not anchored not stored refs pending

Mapping $n$ grid points onto a square forces an arbitrarily large Lipschitz constant

Eva Kopeck\'a, Michael Dymond, Vojt\v{e}ch Kalu\v{z}a

arxiv:1704.01940 v4 · 2017-04-06 · math.MG · cs.DM · 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{UTNRXCHCNRHEVALWJ4H7K6WZBA}

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	2026-05-18T00:07:18.737803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4db1b88e26c4e4a81764f0ff57ad9081e8d4d71af7579a0e1d50513decc51ea

Aliases

arxiv: 1704.01940 · arxiv_version: 1704.01940v4 · doi: 10.48550/arxiv.1704.01940 · pith_short_12: UTNRXCHCNRHE · pith_short_16: UTNRXCHCNRHEVALW · pith_short_8: UTNRXCHC

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/UTNRXCHCNRHEVALWJ4H7K6WZBA \
  | 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: a4db1b88e26c4e4a81764f0ff57ad9081e8d4d71af7579a0e1d50513decc51ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb85daab72960b93086d80cf1c1301039a2b08346dba75d2550770fbc5821cac",
    "cross_cats_sorted": [
      "cs.DM",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-04-06T17:10:07Z",
    "title_canon_sha256": "fa6db7338cb56131e79a94df2adb33f7f1e2ecbf1c262d2e65f9ba25be50dae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01940",
    "kind": "arxiv",
    "version": 4
  }
}