Pith Number

pith:ZTLPT34K

pith:2013:ZTLPT34KXSP7ZHCFXWTWGY2HND

not attested not anchored not stored refs pending

Multiplication and composition operators between two Orlicz spaces

Yousef Estaremi

arxiv:1301.4830 v2 · 2013-01-21 · 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{ZTLPT34KXSP7ZHCFXWTWGY2HND}

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	2026-05-18T03:09:50.184294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd6f9ef8abc9ffc9c45bda763634768d2d6223050a9c46255831eec3fb2723d

Aliases

arxiv: 1301.4830 · arxiv_version: 1301.4830v2 · doi: 10.48550/arxiv.1301.4830 · pith_short_12: ZTLPT34KXSP7 · pith_short_16: ZTLPT34KXSP7ZHCF · pith_short_8: ZTLPT34K

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/ZTLPT34KXSP7ZHCFXWTWGY2HND \
  | 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: ccd6f9ef8abc9ffc9c45bda763634768d2d6223050a9c46255831eec3fb2723d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf9c70fba2e3e127508a662b01072f9b1bbbdc0767073fb6bfa66814339d8508",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-21T11:51:57Z",
    "title_canon_sha256": "e1d1da40dd60f23ec8553e0b64a53d6bd294850fbe556f842995ad7e8361a851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4830",
    "kind": "arxiv",
    "version": 2
  }
}