Pith Number

pith:TF3ZON72

pith:2010:TF3ZON72SHZNLSLIZLDO627KEE

not attested not anchored not stored refs pending

High-Dimensional Lipschitz Functions are Typically Flat

Ron Peled

arxiv:1005.4636 v2 · 2010-05-25 · math-ph · math.CO · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TF3ZON72SHZNLSLIZLDO627KEE}

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	2026-05-18T00:48:55.607930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99779737fa91f2d5c968cac6ef6bea211624422724987e7af81c4f003c198490

Aliases

arxiv: 1005.4636 · arxiv_version: 1005.4636v2 · doi: 10.48550/arxiv.1005.4636 · pith_short_12: TF3ZON72SHZN · pith_short_16: TF3ZON72SHZNLSLI · pith_short_8: TF3ZON72

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/TF3ZON72SHZNLSLIZLDO627KEE \
  | 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: 99779737fa91f2d5c968cac6ef6bea211624422724987e7af81c4f003c198490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca63cfcdc6ec3246958054ed38b7a83b9e9c958a98bcf81ab500e3843f99175",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-25T17:18:15Z",
    "title_canon_sha256": "a626a2274d15283b04a7ce385ab401a37e51efe14d4463eddd6d4395c207fba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4636",
    "kind": "arxiv",
    "version": 2
  }
}