Pith Number

pith:MZHIGPL7

pith:2010:MZHIGPL7WDUHWU343NNYXYIHXL

not attested not anchored not stored refs pending

The Goldstine-Weston theorem in random normed modules

Guang Shi

arxiv:1010.4522 v1 · 2010-10-21 · 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{MZHIGPL7WDUHWU343NNYXYIHXL}

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	2026-05-18T04:38:58.525195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

664e833d7fb0e87b537cdb5b8be107bad5ff068c6f99d4ed34458e80ca7caac3

Aliases

arxiv: 1010.4522 · arxiv_version: 1010.4522v1 · doi: 10.48550/arxiv.1010.4522 · pith_short_12: MZHIGPL7WDUH · pith_short_16: MZHIGPL7WDUHWU34 · pith_short_8: MZHIGPL7

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/MZHIGPL7WDUHWU343NNYXYIHXL \
  | 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: 664e833d7fb0e87b537cdb5b8be107bad5ff068c6f99d4ed34458e80ca7caac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4a2a199d06d3b44fdf243e6fd6df3c29c72622dc2515b8d3a8316602ccd039d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-10-21T16:44:15Z",
    "title_canon_sha256": "9853a426c5f7ff58dcd7dd850e0c1e4304cd009566710632243c7ffe44ff578a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4522",
    "kind": "arxiv",
    "version": 1
  }
}