Pith Number

pith:3FAFFJD4

pith:1990:3FAFFJD4WUCNRIZTI2AESSM433

not attested not anchored not stored refs pending

Operators which factor through Banach lattices not containing c_0

Nassif Ghoussoub, William B. Johnson

arxiv:math/9201209 v1 · 1990-02-19 · 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{3FAFFJD4WUCNRIZTI2AESSM433}

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	2026-05-18T01:05:54.681934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d94052a47cb504d8a333468049499cdef5e3febce6f483ad9a157046d51fb0f9

Aliases

arxiv: math/9201209 · arxiv_version: math/9201209v1 · doi: 10.48550/arxiv.math/9201209 · pith_short_12: 3FAFFJD4WUCN · pith_short_16: 3FAFFJD4WUCNRIZT · pith_short_8: 3FAFFJD4

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/3FAFFJD4WUCNRIZTI2AESSM433 \
  | 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: d94052a47cb504d8a333468049499cdef5e3febce6f483ad9a157046d51fb0f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df15cd7200c97cee18f9c72f710f61f9600e1e18e120e0455c4e349f38bdd3b6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1990-02-19T00:00:00Z",
    "title_canon_sha256": "a71a6d0805dc6dcece0cb7092c4562fe54cf4c10afaba0ede1be4c43966cc66a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9201209",
    "kind": "arxiv",
    "version": 1
  }
}