Pith Number

pith:5O5BJPWD

pith:1995:5O5BJPWDB3TO7HHSOLDEJB4DXO

not attested not anchored not stored refs pending

Frames containing a Riesz basis and preservation of this property under perturbation

Ole Christensen, Peter G. Casazza

arxiv:math/9509215 v1 · 1995-09-22 · 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{5O5BJPWDB3TO7HHSOLDEJB4DXO}

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	2026-05-18T01:05:48.327435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebba14bec30ee6ef9cf272c6448783bb9f52e59d0fe355a2c0256dd659bc042d

Aliases

arxiv: math/9509215 · arxiv_version: math/9509215v1 · doi: 10.48550/arxiv.math/9509215 · pith_short_12: 5O5BJPWDB3TO · pith_short_16: 5O5BJPWDB3TO7HHS · pith_short_8: 5O5BJPWD

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/5O5BJPWDB3TO7HHSOLDEJB4DXO \
  | 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: ebba14bec30ee6ef9cf272c6448783bb9f52e59d0fe355a2c0256dd659bc042d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2520391c8b0d18c824307a10f8cc8b4f14dd6fc01d3b8c7fa829f77bd440439d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1995-09-22T00:00:00Z",
    "title_canon_sha256": "278102ec1e4363131f1ad4cc1e86b285da21a8d66aefd2f6bf8f46b620c69c73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9509215",
    "kind": "arxiv",
    "version": 1
  }
}