Pith Number

pith:II2SYBKG

pith:2022:II2SYBKGWNVKFACJ4LI5MRTAFE

not attested not anchored not stored refs pending

Mixed norm spaces and RM(p,q) spaces

Tanaus\'u Aguilar-Hern\'andez

arxiv:2203.04704 v1 · 2022-03-09 · 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{II2SYBKGWNVKFACJ4LI5MRTAFE}

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	2026-07-05T04:03:21.666969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42352c0546b36aa28049e2d1d646602907326a43d219196a386b206511002a0c

Aliases

arxiv: 2203.04704 · arxiv_version: 2203.04704v1 · doi: 10.48550/arxiv.2203.04704 · pith_short_12: II2SYBKGWNVK · pith_short_16: II2SYBKGWNVKFACJ · pith_short_8: II2SYBKG

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/II2SYBKGWNVKFACJ4LI5MRTAFE \
  | 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: 42352c0546b36aa28049e2d1d646602907326a43d219196a386b206511002a0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ae992bc3fb49f3770fb137a25b940fd20cf9ba397bf0ff7bbe5c24cc33d2ba1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-03-09T13:27:54Z",
    "title_canon_sha256": "84e01514cc7a4c1bc5d7eb21002906aa5719c2c936f1c411ec8f991e04c07571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.04704",
    "kind": "arxiv",
    "version": 1
  }
}