Pith Number

pith:GAH63PYU

pith:2015:GAH63PYUVKG32S4HSUL7Y7TEKC

not attested not anchored not stored refs pending

Approximation and Schur properties for Lipschitz free spaces over compact metric spaces

Eva Perneck\'a, Gilles Lancien, Petr H\'ajek

arxiv:1507.02701 v3 · 2015-07-09 · 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{GAH63PYUVKG32S4HSUL7Y7TEKC}

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	2026-05-18T01:26:57.468686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

300fedbf14aa8dbd4b879517fc7e6450b14ef82c2d8896b2a84ec3ca2ec294b3

Aliases

arxiv: 1507.02701 · arxiv_version: 1507.02701v3 · doi: 10.48550/arxiv.1507.02701 · pith_short_12: GAH63PYUVKG3 · pith_short_16: GAH63PYUVKG32S4H · pith_short_8: GAH63PYU

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/GAH63PYUVKG32S4HSUL7Y7TEKC \
  | 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: 300fedbf14aa8dbd4b879517fc7e6450b14ef82c2d8896b2a84ec3ca2ec294b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "130a54049c783f9107261c3b8d35f8b2529e8ccd55b7b9fb2a105cf59d98e85e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-09T20:38:07Z",
    "title_canon_sha256": "e46de2e18d53d895ef7e52e137657cd518a63ed6df1b4abb606e33a2a0a762b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02701",
    "kind": "arxiv",
    "version": 3
  }
}