Pith Number

pith:LZJROYJ6

pith:2018:LZJROYJ6MTN2OKIDLUVRFFX24I

not attested not anchored not stored refs pending

On exposed points of Lipschitz free spaces

Anton\'in Proch\'azka, Colin Petitjean

arxiv:1810.12031 v1 · 2018-10-29 · 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{LZJROYJ6MTN2OKIDLUVRFFX24I}

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	2026-05-18T00:02:06.657199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e5317613e64dba729035d2b1296fae22c13bf460365278104e8a00842c1dac8

Aliases

arxiv: 1810.12031 · arxiv_version: 1810.12031v1 · doi: 10.48550/arxiv.1810.12031 · pith_short_12: LZJROYJ6MTN2 · pith_short_16: LZJROYJ6MTN2OKID · pith_short_8: LZJROYJ6

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/LZJROYJ6MTN2OKIDLUVRFFX24I \
  | 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: 5e5317613e64dba729035d2b1296fae22c13bf460365278104e8a00842c1dac8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94c483f13842fbc1cf3182cfe75bea39e63c1387566f2e17cbb5b23853a921fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-29T09:58:16Z",
    "title_canon_sha256": "225691129d4a33cd503586920734808ddca0f32b25463c3f50f2536d18d443eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12031",
    "kind": "arxiv",
    "version": 1
  }
}