Pith Number

pith:D75AOZU3

pith:2012:D75AOZU32EZ66LFRUTTIMTN7UK

not attested not anchored not stored refs pending

Shrinking and boundedly complete atomic decompositions in Fr\'echet spaces

Antonio Galbis, Carmen Fern\'andez, Jos\'e Bonet, Juan M. Ribera

arxiv:1212.0969 v1 · 2012-12-05 · 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{D75AOZU32EZ66LFRUTTIMTN7UK}

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	2026-05-18T03:39:06.805392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ffa07669bd133ef2cb1a4e6864dbfa2b55241548e8237d83600d967005c49af

Aliases

arxiv: 1212.0969 · arxiv_version: 1212.0969v1 · doi: 10.48550/arxiv.1212.0969 · pith_short_12: D75AOZU32EZ6 · pith_short_16: D75AOZU32EZ66LFR · pith_short_8: D75AOZU3

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/D75AOZU32EZ66LFRUTTIMTN7UK \
  | 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: 1ffa07669bd133ef2cb1a4e6864dbfa2b55241548e8237d83600d967005c49af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0ad70c2ebb66db1dc784544c241eee3512ed212f228cf63e77f2103611ab841",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-05T09:03:55Z",
    "title_canon_sha256": "0611330757fda7800d2a0e02671330d941612b8f7b07e92a92484e27ad8c97ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0969",
    "kind": "arxiv",
    "version": 1
  }
}