Pith Number

pith:43X6PX77

pith:2026:43X6PX77IKNBPASEPAJ6EVCL33

not attested not anchored not stored refs pending

On $L^p$-spaces of functions with values in locally convex spaces

Humberto Prado, Matthieu F. Pinaud

arxiv:2605.30191 v1 · 2026-05-28 · 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{43X6PX77IKNBPASEPAJ6EVCL33}

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	2026-05-29T02:06:12.414274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6efe7dfff429a1782447813e2544bdec62f8e3eb604a78e166aa765256d6ee4

Aliases

arxiv: 2605.30191 · arxiv_version: 2605.30191v1 · doi: 10.48550/arxiv.2605.30191 · pith_short_12: 43X6PX77IKNB · pith_short_16: 43X6PX77IKNBPASE · pith_short_8: 43X6PX77

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/43X6PX77IKNBPASEPAJ6EVCL33 \
  | 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: e6efe7dfff429a1782447813e2544bdec62f8e3eb604a78e166aa765256d6ee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef68905296a46ad1321c456384f54ca972093f19a38bd265aa75a133df3862e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-28T16:33:20Z",
    "title_canon_sha256": "9773c85e4e5e662f745218c86df9506776a8018f00d4c2188265d439f49e3358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30191",
    "kind": "arxiv",
    "version": 1
  }
}