Pith Number

pith:Y2IOMPLW

pith:2016:Y2IOMPLWNJJ46TGJS4UCQARUIV

not attested not anchored not stored refs pending

Operator Lipschitz Functions

Aleksei Aleksandrov, Vladimir Peller

arxiv:1602.07994 v1 · 2016-02-25 · math.FA · math.CA · math.CV · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2IOMPLWNJJ46TGJS4UCQARUIV}

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	2026-05-18T00:54:40.639682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c690e63d766a53cf4cc9972828023445615f9a2c6a8dc14ad8eabd371b84eb15

Aliases

arxiv: 1602.07994 · arxiv_version: 1602.07994v1 · doi: 10.48550/arxiv.1602.07994 · pith_short_12: Y2IOMPLWNJJ4 · pith_short_16: Y2IOMPLWNJJ46TGJ · pith_short_8: Y2IOMPLW

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/Y2IOMPLWNJJ46TGJS4UCQARUIV \
  | 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: c690e63d766a53cf4cc9972828023445615f9a2c6a8dc14ad8eabd371b84eb15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77688a3fe158d9386bf590e6ca42dd8de96acb89fe839e91df71d8d95c6c49a3",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-02-25T17:07:41Z",
    "title_canon_sha256": "5ca8fb45006a27e0265f7e0e22c572f1ea92188885727f4ee53a4fdbe67f4b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07994",
    "kind": "arxiv",
    "version": 1
  }
}