Pith Number

pith:FHFLWV5O

pith:2018:FHFLWV5OQOE4GUGA7WYV33NUZ7

not attested not anchored not stored refs pending

Addendum to "BMO: Oscillations, Self Improvement, Gagliardo Coordinate Spaces and Reverse Hardy Inequalities"

Mario Milman

arxiv:1806.08275 v1 · 2018-06-21 · 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{FHFLWV5OQOE4GUGA7WYV33NUZ7}

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	2026-05-18T00:12:41.531940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29cabb57ae8389c350c0fdb15dedb4cfebfb765212be11a46b779a4ac7604324

Aliases

arxiv: 1806.08275 · arxiv_version: 1806.08275v1 · doi: 10.48550/arxiv.1806.08275 · pith_short_12: FHFLWV5OQOE4 · pith_short_16: FHFLWV5OQOE4GUGA · pith_short_8: FHFLWV5O

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/FHFLWV5OQOE4GUGA7WYV33NUZ7 \
  | 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: 29cabb57ae8389c350c0fdb15dedb4cfebfb765212be11a46b779a4ac7604324

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32edd5d02a953fec6f1c5173b81fa852027414597c1bac2450e9cb810c2db649",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-06-21T14:54:16Z",
    "title_canon_sha256": "c473d27476aed3a41b1fe36b83fead9b4314f8f88ed099d19fd7161073f84c4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08275",
    "kind": "arxiv",
    "version": 1
  }
}