Pith Number

pith:UDUGA73P

pith:2025:UDUGA73PG7CJNZPNXKYBFHGIAX

not attested not anchored not stored refs pending

Complemented subspaces of Banach lattices

David de Hevia, Pedro Tradacete

arxiv:2505.24084 v2 · 2025-05-30 · 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{UDUGA73PG7CJNZPNXKYBFHGIAX}

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	2026-07-05T11:36:32.399947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0e8607f6f37c496e5edbab0129cc805d7774c12644ccce25d66228de95e39a6

Aliases

arxiv: 2505.24084 · arxiv_version: 2505.24084v2 · doi: 10.48550/arxiv.2505.24084 · pith_short_12: UDUGA73PG7CJ · pith_short_16: UDUGA73PG7CJNZPN · pith_short_8: UDUGA73P

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/UDUGA73PG7CJNZPNXKYBFHGIAX \
  | 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: a0e8607f6f37c496e5edbab0129cc805d7774c12644ccce25d66228de95e39a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32b465c3a449ad08cea9d407aca626ff615bd574b25bb4e0cd7f731f83da5e96",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-05-30T00:06:44Z",
    "title_canon_sha256": "384d981b26719b5c4bc4ae4f3b841e7a186d2b5b3aa9c69caa9426c53adca5ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24084",
    "kind": "arxiv",
    "version": 2
  }
}