Pith Number

pith:LJTPD6BM

pith:1993:LJTPD6BMQIHO22KRNIDAICICHP

not attested not anchored not stored refs pending

Locally Lipschitz Functions and Bornological Derivatives

Jonathan M. Borwein, J. Vanderwerff, Marian Fabian

arxiv:math/9302211 v1 · 1993-02-09 · 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{LJTPD6BMQIHO22KRNIDAICICHP}

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	2026-05-18T01:05:52.310162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a66f1f82c820eed69516a060409023bff70de329a4d3ae4c0345856fc919f33

Aliases

arxiv: math/9302211 · arxiv_version: math/9302211v1 · doi: 10.48550/arxiv.math/9302211 · pith_short_12: LJTPD6BMQIHO · pith_short_16: LJTPD6BMQIHO22KR · pith_short_8: LJTPD6BM

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/LJTPD6BMQIHO22KRNIDAICICHP \
  | 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: 5a66f1f82c820eed69516a060409023bff70de329a4d3ae4c0345856fc919f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "341f76828147cccf93d8c954dfcf17ce00968a4a7b9c941663650be968b40994",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1993-02-09T17:24:39Z",
    "title_canon_sha256": "c725543e0bd8c9798e4a8a4524f1c4dd613a39dbdf658bb5af2557222858c7aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9302211",
    "kind": "arxiv",
    "version": 1
  }
}