Pith Number

pith:NO2JA2EM

pith:2013:NO2JA2EM5DNSFH7OYON7HIFJHX

not attested not anchored not stored refs pending

Unconditionality of orthogonal spline systems in $L^p$

Markus Passenbrunner

arxiv:1308.5055 v3 · 2013-08-23 · 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{NO2JA2EM5DNSFH7OYON7HIFJHX}

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	2026-05-18T02:25:49.310691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bb490688ce8db229feec39bf3a0a93dc83c32c1ea529d76c14499653de0c98f

Aliases

arxiv: 1308.5055 · arxiv_version: 1308.5055v3 · doi: 10.48550/arxiv.1308.5055 · pith_short_12: NO2JA2EM5DNS · pith_short_16: NO2JA2EM5DNSFH7O · pith_short_8: NO2JA2EM

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/NO2JA2EM5DNSFH7OYON7HIFJHX \
  | 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: 6bb490688ce8db229feec39bf3a0a93dc83c32c1ea529d76c14499653de0c98f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ffa9fed10c241e9c38e605fb53bc7acfaa004a25d6b9d1ef87dbce64b814464",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-23T06:17:32Z",
    "title_canon_sha256": "8eb24cbaebf51b1277e5f403acfac25b249ef3c10f6969d8a38b7db18c253182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5055",
    "kind": "arxiv",
    "version": 3
  }
}