Pith Number

pith:CW6PAUIT

pith:2013:CW6PAUITHIVRHWL6OI536KBRIY

not attested not anchored not stored refs pending

$\alpha$-Large Families and Applications to Banach Space Theory

Pavlos Motakis, Spiros A. Argyros

arxiv:1302.0715 v2 · 2013-02-04 · math.FA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CW6PAUITHIVRHWL6OI536KBRIY}

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	2026-05-18T02:38:46.345637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15bcf051133a2b13d97e723bbf28314608fbb2245ce6ab70d65bb59566081886

Aliases

arxiv: 1302.0715 · arxiv_version: 1302.0715v2 · doi: 10.48550/arxiv.1302.0715 · pith_short_12: CW6PAUITHIVR · pith_short_16: CW6PAUITHIVRHWL6 · pith_short_8: CW6PAUIT

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/CW6PAUITHIVRHWL6OI536KBRIY \
  | 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: 15bcf051133a2b13d97e723bbf28314608fbb2245ce6ab70d65bb59566081886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28534d5b6cf17d62a0ab9f17e0f7a67efdff95690241e4eb650a084b4aedc122",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-04T15:18:08Z",
    "title_canon_sha256": "a476697362fea7ebea0970a1a0b7d89274576f8558a97b7f049ad1187ce3bc9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0715",
    "kind": "arxiv",
    "version": 2
  }
}