Pith Number

pith:E6IVDVCE

pith:2015:E6IVDVCE6NDRYFWP3QE5PINABN

not attested not anchored not stored refs pending

On the structure of Lipschitz-free spaces

Marek Cuth, Michal Doucha, Przemyslaw Wojtaszczyk

arxiv:1505.07209 v4 · 2015-05-27 · 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{E6IVDVCE6NDRYFWP3QE5PINABN}

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	2026-05-18T00:24:04.737281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

279151d444f3471c16cfdc09d7a1a00b5cbe37be40d18b42f5001ef30cb2cf5d

Aliases

arxiv: 1505.07209 · arxiv_version: 1505.07209v4 · doi: 10.48550/arxiv.1505.07209 · pith_short_12: E6IVDVCE6NDR · pith_short_16: E6IVDVCE6NDRYFWP · pith_short_8: E6IVDVCE

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/E6IVDVCE6NDRYFWP3QE5PINABN \
  | 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: 279151d444f3471c16cfdc09d7a1a00b5cbe37be40d18b42f5001ef30cb2cf5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12c09e4d38318e3999c196ab4560b75868e24b78536abd5bae245707474e3bb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-27T07:08:58Z",
    "title_canon_sha256": "4377a4c8641bfb1fe3b69a935810db8bc6a022bd2e96e887db561a3958b42e8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07209",
    "kind": "arxiv",
    "version": 4
  }
}