Pith Number

pith:MNAAZLE2

pith:2019:MNAAZLE232XRIEJVT2XZASIBKQ

not attested not anchored not stored refs pending

Interpolation between $L_0({\mathcal M},\tau)$ and $L_\infty({\mathcal M},\tau)$

F. Sukochev, J. Huang

arxiv:1902.05907 v1 · 2019-02-14 · math.OA · 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{MNAAZLE232XRIEJVT2XZASIBKQ}

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	2026-05-17T23:53:55.151847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63400cac9adeaf1411359eaf9049015410c1388c0355db75c116ad7119657a4a

Aliases

arxiv: 1902.05907 · arxiv_version: 1902.05907v1 · doi: 10.48550/arxiv.1902.05907 · pith_short_12: MNAAZLE232XR · pith_short_16: MNAAZLE232XRIEJV · pith_short_8: MNAAZLE2

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/MNAAZLE232XRIEJVT2XZASIBKQ \
  | 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: 63400cac9adeaf1411359eaf9049015410c1388c0355db75c116ad7119657a4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "790138c654176ed1c8fc80bd1eaf759019cf6d75f7f18dfd10ed2864aeed9519",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-02-14T03:37:40Z",
    "title_canon_sha256": "f729967831ddb3d7aa145fbb97e89e7210fd1dc31716eb899c22c37c45289bcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05907",
    "kind": "arxiv",
    "version": 1
  }
}