Pith Number

pith:Z4T5RXFW

pith:1995:Z4T5RXFWOFRS5WUIVMHSGLPBZK

not attested not anchored not stored refs pending

Subspaces of rearrangement-invariant spaces

F. L. Hernandez, Nigel J. Kalton

arxiv:math/9503211 v1 · 1995-03-02 · 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{Z4T5RXFWOFRS5WUIVMHSGLPBZK}

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	2026-05-18T01:05:50.398106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf27d8dcb671632eda88ab0f232de1ca82cd89c4dccc6f8f7d4c645fc4c49f84

Aliases

arxiv: math/9503211 · arxiv_version: math/9503211v1 · doi: 10.48550/arxiv.math/9503211 · pith_short_12: Z4T5RXFWOFRS · pith_short_16: Z4T5RXFWOFRS5WUI · pith_short_8: Z4T5RXFW

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/Z4T5RXFWOFRS5WUIVMHSGLPBZK \
  | 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: cf27d8dcb671632eda88ab0f232de1ca82cd89c4dccc6f8f7d4c645fc4c49f84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6ce3507bce7c5d4c6b38dab9fed29892ac362b9a9de193f2546beadfa9cbc1e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1995-03-02T20:10:40Z",
    "title_canon_sha256": "4576b19ce6a39ac7e7f238c96ab75d49c469afb0001433f9819253687d72be91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9503211",
    "kind": "arxiv",
    "version": 1
  }
}