Pith Number

pith:5D3MMKNV

pith:2014:5D3MMKNVLWZHEJ3JSRZSAJXTP6

not attested not anchored not stored refs pending

Lipschitz functions on the infinite-dimensional torus

Bo'az Klartag, Dmitry Faifman

arxiv:1411.1620 v1 · 2014-11-06 · math.PR · 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{5D3MMKNVLWZHEJ3JSRZSAJXTP6}

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	2026-05-18T02:38:27.370982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8f6c629b55db272276994732026f37fa6fd522a5eba251b05861be9c3f9b240

Aliases

arxiv: 1411.1620 · arxiv_version: 1411.1620v1 · doi: 10.48550/arxiv.1411.1620 · pith_short_12: 5D3MMKNVLWZH · pith_short_16: 5D3MMKNVLWZHEJ3J · pith_short_8: 5D3MMKNV

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/5D3MMKNVLWZHEJ3JSRZSAJXTP6 \
  | 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: e8f6c629b55db272276994732026f37fa6fd522a5eba251b05861be9c3f9b240

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bbcb94398c4aa26af5d92f61a4308f8a2aaa19fa3bcc3b8a53001c90af3ce2c",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-11-06T14:08:59Z",
    "title_canon_sha256": "5f6933a884e8e9f99071565de6cca6cbc2bc7aeedef0ffd4f9b2df76593b84f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1620",
    "kind": "arxiv",
    "version": 1
  }
}