Pith Number

pith:LYSM7YER

pith:2017:LYSM7YERHKPTRIK5SDKQTPPHNV

not attested not anchored not stored refs pending

Some natural subspaces and quotient spaces of $L^1$

Gilles Godefroy, Nicolas Lerner

arxiv:1702.06049 v1 · 2017-02-20 · 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{LYSM7YERHKPTRIK5SDKQTPPHNV}

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	2026-05-18T00:50:24.473968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e24cfe0913a9f38a15d90d509bde76d57d5693f088acd0a8e08cb26c1eae239

Aliases

arxiv: 1702.06049 · arxiv_version: 1702.06049v1 · doi: 10.48550/arxiv.1702.06049 · pith_short_12: LYSM7YERHKPT · pith_short_16: LYSM7YERHKPTRIK5 · pith_short_8: LYSM7YER

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/LYSM7YERHKPTRIK5SDKQTPPHNV \
  | 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: 5e24cfe0913a9f38a15d90d509bde76d57d5693f088acd0a8e08cb26c1eae239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce5b922b50c5ea09780006dc977c49ebc8679444bb8732fd174f2af241f0e4a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-20T16:19:07Z",
    "title_canon_sha256": "11a8533ed532cd9376a4ff45f1f455d5cf867f221ada8c1b73e8edfd88be8e86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06049",
    "kind": "arxiv",
    "version": 1
  }
}