Pith Number

pith:G246TLEO

pith:2018:G246TLEOWSFGB4JDGW4RB4Y4GM

not attested not anchored not stored refs pending

Grand Lebesgue Spaces norm estimates for multivariate functional operations

E. Ostrovsky, L. Sirota

arxiv:1805.01982 v1 · 2018-05-05 · 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{G246TLEOWSFGB4JDGW4RB4Y4GM}

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	2026-05-18T00:16:41.372974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36b9e9ac8eb48a60f12335b910f31c331b15ff8f03ca764cfc1b8cf757a64f9d

Aliases

arxiv: 1805.01982 · arxiv_version: 1805.01982v1 · doi: 10.48550/arxiv.1805.01982 · pith_short_12: G246TLEOWSFG · pith_short_16: G246TLEOWSFGB4JD · pith_short_8: G246TLEO

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/G246TLEOWSFGB4JDGW4RB4Y4GM \
  | 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: 36b9e9ac8eb48a60f12335b910f31c331b15ff8f03ca764cfc1b8cf757a64f9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ad2afff0cab744afc1386477ee5f227b422a3ebdf45aa01212f0ab062f3bc6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-05T01:33:55Z",
    "title_canon_sha256": "70251e2542cf89905bb4e7a27778cf61c84e2cd4700c4e1e684b06531350247d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01982",
    "kind": "arxiv",
    "version": 1
  }
}