Pith Number

pith:Y4G6XRLM

pith:2017:Y4G6XRLMDURDYAS5CVCXVBY374

not attested not anchored not stored refs pending

Some approximation results in Musielak-Orlicz spaces

Ahmed Youssfi, Youssef Ahmida

arxiv:1708.02453 v3 · 2017-08-08 · 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{Y4G6XRLMDURDYAS5CVCXVBY374}

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	2026-05-18T00:32:16.163912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c70debc56c1d223c025d15457a871bff2d36c055bedc87bf28432e69dfbd86de

Aliases

arxiv: 1708.02453 · arxiv_version: 1708.02453v3 · doi: 10.48550/arxiv.1708.02453 · pith_short_12: Y4G6XRLMDURD · pith_short_16: Y4G6XRLMDURDYAS5 · pith_short_8: Y4G6XRLM

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/Y4G6XRLMDURDYAS5CVCXVBY374 \
  | 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: c70debc56c1d223c025d15457a871bff2d36c055bedc87bf28432e69dfbd86de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08996037e7554be054fb20ce4f16009bd68cb1c3eee0fc08aeaeb4fee95e6043",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-08T11:51:39Z",
    "title_canon_sha256": "40bc405b2efa4aec82b742aea29a4bbd3706e31132e07aa0b85d65ac74d4c217"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02453",
    "kind": "arxiv",
    "version": 3
  }
}