Pith Number

pith:O2UJWSOO

pith:2016:O2UJWSOOK5H25KKF3GSERH53B5

not attested not anchored not stored refs pending

An index of summability for pairs of Banach spaces

D. Pellegrino, J. Santos, M. Maia

arxiv:1602.03363 v1 · 2016-02-10 · 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{O2UJWSOOK5H25KKF3GSERH53B5}

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	2026-05-18T01:21:00.183704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a89b49ce574faea945d9a4489fbb0f4a0560b54caab96fd660ea42e38d8544

Aliases

arxiv: 1602.03363 · arxiv_version: 1602.03363v1 · doi: 10.48550/arxiv.1602.03363 · pith_short_12: O2UJWSOOK5H2 · pith_short_16: O2UJWSOOK5H25KKF · pith_short_8: O2UJWSOO

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/O2UJWSOOK5H25KKF3GSERH53B5 \
  | 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: 76a89b49ce574faea945d9a4489fbb0f4a0560b54caab96fd660ea42e38d8544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dee2d2e2a86697f03e2e3072c2bd7a0d073f028f46a46b06934e82f0d1db6cf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-02-10T13:24:38Z",
    "title_canon_sha256": "aa4822445958361c27297d1d4e163fb074d6043218eccea634a129540bd5dae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03363",
    "kind": "arxiv",
    "version": 1
  }
}