Pith Number

pith:IY2I4E3Y

pith:2015:IY2I4E3YU6RFHL5NDZDZETLCFG

not attested not anchored not stored refs pending

Exponential bases on multi-rectangles in $\mathbb{R}^d$

Laura De Carli

arxiv:1512.02275 v4 · 2015-12-07 · 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{IY2I4E3YU6RFHL5NDZDZETLCFG}

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	2026-05-18T01:06:21.052873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46348e1378a7a253afad1e47924d622996ede3bb6b1075d2c314fcd9fcda284a

Aliases

arxiv: 1512.02275 · arxiv_version: 1512.02275v4 · doi: 10.48550/arxiv.1512.02275 · pith_short_12: IY2I4E3YU6RF · pith_short_16: IY2I4E3YU6RFHL5N · pith_short_8: IY2I4E3Y

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/IY2I4E3YU6RFHL5NDZDZETLCFG \
  | 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: 46348e1378a7a253afad1e47924d622996ede3bb6b1075d2c314fcd9fcda284a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be93ad850a404a8020895e245caeb28d55d06a13e21b6ab37ccd3122840163aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-07T22:43:33Z",
    "title_canon_sha256": "01b4cacc825945ec09ca114f4a8d2e557c41bae3e84e61deac55756279c5a3dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02275",
    "kind": "arxiv",
    "version": 4
  }
}