Pith Number

pith:Q3BNA4UQ

pith:2012:Q3BNA4UQFKD3KMRUV5LDINICSL

not attested not anchored not stored refs pending

Musielak-Orlicz Spaces that are Isomorphic to Subspaces of L_1

Joscha Prochno

arxiv:1204.6030 v2 · 2012-04-26 · 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{Q3BNA4UQFKD3KMRUV5LDINICSL}

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	2026-05-18T03:26:23.233624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86c2d072902a87b53234af5634350292de4653515ae2f425b81859027f3a9533

Aliases

arxiv: 1204.6030 · arxiv_version: 1204.6030v2 · doi: 10.48550/arxiv.1204.6030 · pith_short_12: Q3BNA4UQFKD3 · pith_short_16: Q3BNA4UQFKD3KMRU · pith_short_8: Q3BNA4UQ

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/Q3BNA4UQFKD3KMRUV5LDINICSL \
  | 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: 86c2d072902a87b53234af5634350292de4653515ae2f425b81859027f3a9533

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87659dbac46094d54d1c1acc49a97137a84f08afbe3fc5d4d08b5a185e6a4223",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-26T19:57:44Z",
    "title_canon_sha256": "9a2e496fc92dd71f06a304fca51b4af51be9de05603fac52b7a7bf1df13b3790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6030",
    "kind": "arxiv",
    "version": 2
  }
}