Pith Number

pith:6Z6NI77S

pith:2012:6Z6NI77STRI4OSJTVK76M57SCU

not attested not anchored not stored refs pending

On the minimal space problem and a new result on existence of basic sequences in quasi-Banach spaces

Cleon S. Barroso

arxiv:1202.3088 v3 · 2012-02-14 · 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{6Z6NI77STRI4OSJTVK76M57SCU}

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	2026-05-18T02:54:47.353171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f67cd47ff29c51c74933aabfe677f21514bb5de98e89f7436386417424ccc675

Aliases

arxiv: 1202.3088 · arxiv_version: 1202.3088v3 · doi: 10.48550/arxiv.1202.3088 · pith_short_12: 6Z6NI77STRI4 · pith_short_16: 6Z6NI77STRI4OSJT · pith_short_8: 6Z6NI77S

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/6Z6NI77STRI4OSJTVK76M57SCU \
  | 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: f67cd47ff29c51c74933aabfe677f21514bb5de98e89f7436386417424ccc675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce32a33608f7fdd94d53be4bb58af213925273e4d485f0826bf4432ab2039413",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-02-14T17:03:29Z",
    "title_canon_sha256": "7719ad1c5386aa01e0aa48a2423c4d770cf9793ab181c8f518c9c60a78bb2142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3088",
    "kind": "arxiv",
    "version": 3
  }
}