Pith Number

pith:J2MATDRG

pith:2018:J2MATDRG7YSNMIHLRRXB7U2ZQA

not attested not anchored not stored refs pending

Duality problem for disjointly homogeneous rearrangement invariant spaces

Sergey V. Astashkin

arxiv:1805.00691 v2 · 2018-05-02 · 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{J2MATDRG7YSNMIHLRRXB7U2ZQA}

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	2026-05-17T23:51:05.887292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e98098e26fe24d620eb8c6e1fd3598014cfc2781e59749cb2afcbc2fc593764

Aliases

arxiv: 1805.00691 · arxiv_version: 1805.00691v2 · doi: 10.48550/arxiv.1805.00691 · pith_short_12: J2MATDRG7YSN · pith_short_16: J2MATDRG7YSNMIHL · pith_short_8: J2MATDRG

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/J2MATDRG7YSNMIHLRRXB7U2ZQA \
  | 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: 4e98098e26fe24d620eb8c6e1fd3598014cfc2781e59749cb2afcbc2fc593764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d883ac151b89734b4955b64e41dcf3fc57c6b775f41987fb34937ecbaeb4dee4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-02T09:22:46Z",
    "title_canon_sha256": "99771280564d847674f08ba88b4799758fb6cb49ff2f84f88d97b3fb88c9f898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00691",
    "kind": "arxiv",
    "version": 2
  }
}