Pith Number

pith:5ZBAOR7O

pith:2014:5ZBAOR7OKOEPPDNU7STYU7CNUT

not attested not anchored not stored refs pending

On the transformation of vector-valued sequences by linear and multilinear operators

Geraldo Botelho, Jamilson R. Campos

arxiv:1410.4261 v2 · 2014-10-16 · 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{5ZBAOR7OKOEPPDNU7STYU7CNUT}

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	2026-05-18T01:24:11.093523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee420747ee5388f78db4fca78a7c4da4e1a1b93cb943bae858f58089b9dfbfc9

Aliases

arxiv: 1410.4261 · arxiv_version: 1410.4261v2 · doi: 10.48550/arxiv.1410.4261 · pith_short_12: 5ZBAOR7OKOEP · pith_short_16: 5ZBAOR7OKOEPPDNU · pith_short_8: 5ZBAOR7O

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/5ZBAOR7OKOEPPDNU7STYU7CNUT \
  | 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: ee420747ee5388f78db4fca78a7c4da4e1a1b93cb943bae858f58089b9dfbfc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c93bfa5a27c8fe12ad312a6a2daeed1b3e5f18bd4b439d26efcffb199cb72b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-16T00:06:25Z",
    "title_canon_sha256": "0d23234346bc879cf8e929343ed066e751e50f93e46dd66fec2dd54bf5bf899d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4261",
    "kind": "arxiv",
    "version": 2
  }
}