Pith Number

pith:BUZGP3XV

pith:2013:BUZGP3XV5RTCQY6PESAJEFTEHH

not attested not anchored not stored refs pending

New distribution spaces associated to translation-invariant Banach spaces

Jasson Vindas, Pavel Dimovski, Stevan Pilipovic

arxiv:1310.4047 v4 · 2013-10-15 · math.FA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUZGP3XV5RTCQY6PESAJEFTEHH}

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	2026-05-18T01:36:20.979007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d3267eef5ec662863cf248092166439cea3939ebbf9ad8627b07a4920137e7c

Aliases

arxiv: 1310.4047 · arxiv_version: 1310.4047v4 · doi: 10.48550/arxiv.1310.4047 · pith_short_12: BUZGP3XV5RTC · pith_short_16: BUZGP3XV5RTCQY6P · pith_short_8: BUZGP3XV

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/BUZGP3XV5RTCQY6PESAJEFTEHH \
  | 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: 0d3267eef5ec662863cf248092166439cea3939ebbf9ad8627b07a4920137e7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "716e5bda148094bfc4d847955fe493fb26c5657aff8d6ec847f4e0dc4d326959",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-15T13:21:55Z",
    "title_canon_sha256": "e405675c39aab527df00f38fbc088be901eddff2586750eb0c31a09e8bd07efa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4047",
    "kind": "arxiv",
    "version": 4
  }
}