Pith Number

pith:Z3HCMQY3

pith:2013:Z3HCMQY3CNB7WV42KAISQVL6G6

not attested not anchored not stored refs pending

Inclusions of Waterman-Shiba spaces into generalized Wiener classes

Franciszek Prus-Wisniowski, Hjalmar Rosengren, Mahdi Hormozi

arxiv:1311.5324 v2 · 2013-11-21 · 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{Z3HCMQY3CNB7WV42KAISQVL6G6}

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	2026-05-18T02:49:47.103310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cece26431b1343fb579a501128557e379c2d020ba2ee6496d5a6b89e6bc07264

Aliases

arxiv: 1311.5324 · arxiv_version: 1311.5324v2 · doi: 10.48550/arxiv.1311.5324 · pith_short_12: Z3HCMQY3CNB7 · pith_short_16: Z3HCMQY3CNB7WV42 · pith_short_8: Z3HCMQY3

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/Z3HCMQY3CNB7WV42KAISQVL6G6 \
  | 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: cece26431b1343fb579a501128557e379c2d020ba2ee6496d5a6b89e6bc07264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "562b51ba9d7fe9e220be9a491db66c9ca247d9b4bb4cb9bf0832f2ca09d0c4e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-21T07:25:59Z",
    "title_canon_sha256": "b7f0094a0ad9c728bc51c211fe631baba75bdf0bb1be75925988da8c176bd452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5324",
    "kind": "arxiv",
    "version": 2
  }
}