Pith Number

pith:Z7MP6AYK

pith:2014:Z7MP6AYK7VWOYUBITG6CBNSSVV

not attested not anchored not stored refs pending

On the oscillation rigidity of a Lipschitz function on a high-dimensional flat torus

Bo'az Klartag, Dmitry Faifman, Vitali Milman

arxiv:1402.5589 v1 · 2014-02-23 · math.FA · 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{Z7MP6AYK7VWOYUBITG6CBNSSVV}

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	2026-05-18T02:58:14.459230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd8ff030afd6cec502899bc20b652ad7b2c1e56da2ac33efe71413ea7b4d006

Aliases

arxiv: 1402.5589 · arxiv_version: 1402.5589v1 · doi: 10.48550/arxiv.1402.5589 · pith_short_12: Z7MP6AYK7VWO · pith_short_16: Z7MP6AYK7VWOYUBI · pith_short_8: Z7MP6AYK

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/Z7MP6AYK7VWOYUBITG6CBNSSVV \
  | 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: cfd8ff030afd6cec502899bc20b652ad7b2c1e56da2ac33efe71413ea7b4d006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f011205303d186e4b339a74f38477c238d8f5244686b034323ec6fdaaab4b042",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-02-23T08:42:27Z",
    "title_canon_sha256": "87e7d7b073955054c4e566b4dc0ff388968d6dcef8db8f583126ec75cec9be31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5589",
    "kind": "arxiv",
    "version": 1
  }
}