Pith Number

pith:SBRPMY5L

pith:2011:SBRPMY5LERS7LPG22XE4FWOQUM

not attested not anchored not stored refs pending

Phase Space Localization of Riesz bases for L^2(R^d)

Eugenia Malinnikova, Karlheinz Gr\"ochenig

arxiv:1102.3097 v1 · 2011-02-15 · 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{SBRPMY5LERS7LPG22XE4FWOQUM}

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	2026-05-18T03:21:43.829464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9062f663ab2465f5bcdad5c9c2d9d0a3071898460b2da2418512c7c48568ccbc

Aliases

arxiv: 1102.3097 · arxiv_version: 1102.3097v1 · doi: 10.48550/arxiv.1102.3097 · pith_short_12: SBRPMY5LERS7 · pith_short_16: SBRPMY5LERS7LPG2 · pith_short_8: SBRPMY5L

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/SBRPMY5LERS7LPG22XE4FWOQUM \
  | 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: 9062f663ab2465f5bcdad5c9c2d9d0a3071898460b2da2418512c7c48568ccbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbc7f654a9f4fe69b91d22227b3a9441c28605b57654c502239d5fd01e02e333",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-02-15T15:21:15Z",
    "title_canon_sha256": "c521a8f4204ce09731508e9f9ff005e66b25f63c16a871d4bceb93d0a758691a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3097",
    "kind": "arxiv",
    "version": 1
  }
}