Pith Number

pith:FIVZGX3L

pith:2019:FIVZGX3LOQHCU5RI6P3MBZFCZF

not attested not anchored not stored refs pending

Reverse Holder inequalities revisited: Interpolation, Extrapolation, Indices and Doubling

Alvaro Corval\'an, Mario Milman

arxiv:1907.11327 v1 · 2019-07-25 · 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{FIVZGX3LOQHCU5RI6P3MBZFCZF}

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	2026-05-17T23:39:29.421588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a2b935f6b740e2a7628f3f6c0e4a2c974bac489f9fd7ed97f1976609eac5978

Aliases

arxiv: 1907.11327 · arxiv_version: 1907.11327v1 · doi: 10.48550/arxiv.1907.11327 · pith_short_12: FIVZGX3LOQHC · pith_short_16: FIVZGX3LOQHCU5RI · pith_short_8: FIVZGX3L

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/FIVZGX3LOQHCU5RI6P3MBZFCZF \
  | 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: 2a2b935f6b740e2a7628f3f6c0e4a2c974bac489f9fd7ed97f1976609eac5978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70fd682236edd9c48cf41b2f0dab0d09e7be9c8777d44328c70c02b719ba41d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-25T22:35:22Z",
    "title_canon_sha256": "684ef2d08349a62715f58b00dd99424993a69b1f828dbb04ff4772170c3e7743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11327",
    "kind": "arxiv",
    "version": 1
  }
}