Pith Number

pith:XTOV4IM5

pith:2015:XTOV4IM5ASTT4GS3FXU2UKMXCA

not attested not anchored not stored refs pending

Young's (in)equality for compact operators

Gabriel Larotonda

arxiv:1505.02267 v2 · 2015-05-09 · 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{XTOV4IM5ASTT4GS3FXU2UKMXCA}

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	2026-05-18T01:42:47.497394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcdd5e219d04a73e1a5b2de9aa299710270f120a47154c412d962787892ea910

Aliases

arxiv: 1505.02267 · arxiv_version: 1505.02267v2 · doi: 10.48550/arxiv.1505.02267 · pith_short_12: XTOV4IM5ASTT · pith_short_16: XTOV4IM5ASTT4GS3 · pith_short_8: XTOV4IM5

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/XTOV4IM5ASTT4GS3FXU2UKMXCA \
  | 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: bcdd5e219d04a73e1a5b2de9aa299710270f120a47154c412d962787892ea910

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bb499a263e7b325612c92293e9d803cbcca66c8bcee096d83ceb30abbf64013",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-09T13:17:43Z",
    "title_canon_sha256": "f8e42599e2fe2d4a420e3c2fb833d206553ad6ff53ab8c03c3ceaf97b7034da0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02267",
    "kind": "arxiv",
    "version": 2
  }
}