Pith Number

pith:KRYJHDD3

pith:2007:KRYJHDD3GRQRFAOQJ4QHTXO24R

not attested not anchored not stored refs pending

Banach spaces with polynomial numerical index 1

Han Ju Lee

arxiv:0708.0055 v1 · 2007-08-01 · 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{KRYJHDD3GRQRFAOQJ4QHTXO24R}

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	2026-05-18T02:58:12.465446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5470938c7b34611281d04f2079dddae443a28808b96ddb666041f57582248a6a

Aliases

arxiv: 0708.0055 · arxiv_version: 0708.0055v1 · doi: 10.48550/arxiv.0708.0055 · pith_short_12: KRYJHDD3GRQR · pith_short_16: KRYJHDD3GRQRFAOQ · pith_short_8: KRYJHDD3

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/KRYJHDD3GRQRFAOQJ4QHTXO24R \
  | 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: 5470938c7b34611281d04f2079dddae443a28808b96ddb666041f57582248a6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "727b2d3086e2bf03b8a914a4f13df43c8214ddedd50f065e0d94ad1fecbc40ca",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-08-01T00:54:58Z",
    "title_canon_sha256": "c8b42b554ce7234eebb41a54b41426320f40c5de0756afe6871c24d7fdd38497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0055",
    "kind": "arxiv",
    "version": 1
  }
}