Pith Number

pith:G26P5RCH

pith:1994:G26P5RCHKUKA6JXVFLU3UBWC3S

not attested not anchored not stored refs pending

Banach spaces with the $2$-summing property

Alvaro Arias, Gideon Schechtman, Tadek Figiel, William B. Johnson

arxiv:math/9403206 v1 · 1994-03-02 · 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{G26P5RCHKUKA6JXVFLU3UBWC3S}

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	2026-05-18T01:05:51.599832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36bcfec44755140f26f52ae9ba06c2dca92be20056887678efd9e8efc30d2684

Aliases

arxiv: math/9403206 · arxiv_version: math/9403206v1 · doi: 10.48550/arxiv.math/9403206 · pith_short_12: G26P5RCHKUKA · pith_short_16: G26P5RCHKUKA6JXV · pith_short_8: G26P5RCH

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/G26P5RCHKUKA6JXVFLU3UBWC3S \
  | 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: 36bcfec44755140f26f52ae9ba06c2dca92be20056887678efd9e8efc30d2684

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83fc1b8289ab1981c24f2f19b4586bfcbf49f258ae802cc01f4989b413a3de1d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1994-03-02T00:00:00Z",
    "title_canon_sha256": "7caea7f3e1f4d7d96ceec80713ccd968ad205f34b08265e95c3a74a2574da3ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9403206",
    "kind": "arxiv",
    "version": 1
  }
}