Pith Number

pith:ZFKJOZ5C

pith:2014:ZFKJOZ5C6LD7IUDL7RLMT2P2GV

not attested not anchored not stored refs pending

On the norm of products of polynomials on ultraproduct of Banach spaces

Jorge Tom\'as Rodr\'iguez

arxiv:1411.5894 v1 · 2014-11-21 · 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{ZFKJOZ5C6LD7IUDL7RLMT2P2GV}

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	2026-05-18T02:33:01.958856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9549767a2f2c7f4506bfc56c9e9fa355929e126468ac10fa24c571eb7e46902

Aliases

arxiv: 1411.5894 · arxiv_version: 1411.5894v1 · doi: 10.48550/arxiv.1411.5894 · pith_short_12: ZFKJOZ5C6LD7 · pith_short_16: ZFKJOZ5C6LD7IUDL · pith_short_8: ZFKJOZ5C

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/ZFKJOZ5C6LD7IUDL7RLMT2P2GV \
  | 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: c9549767a2f2c7f4506bfc56c9e9fa355929e126468ac10fa24c571eb7e46902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d529c9e5b4322681e183d97ea3efb219436cdde6923e00132a9607d39b8d6b4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-11-21T14:54:59Z",
    "title_canon_sha256": "af57dc5168d484ef34cf4a11051ac83c1fcf5c4b902154ac6d27c663ce90ea84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5894",
    "kind": "arxiv",
    "version": 1
  }
}