Pith Number

pith:UB7M7IUM

pith:2014:UB7M7IUMMPVNZG2IRD4DWN7FNW

not attested not anchored not stored refs pending

H\"older's inequality: some recent and unexpected applications

D. Pellegrino, G. Araujo, J. Seoane-Sepulveda, N. Albuquerque

arxiv:1412.2017 v3 · 2014-12-05 · 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{UB7M7IUMMPVNZG2IRD4DWN7FNW}

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	2026-05-18T02:20:03.081228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a07ecfa28c63eadc9b4888f83b37e56d9b3ae2c265880ed9a9cb9638742a70bd

Aliases

arxiv: 1412.2017 · arxiv_version: 1412.2017v3 · doi: 10.48550/arxiv.1412.2017 · pith_short_12: UB7M7IUMMPVN · pith_short_16: UB7M7IUMMPVNZG2I · pith_short_8: UB7M7IUM

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/UB7M7IUMMPVNZG2IRD4DWN7FNW \
  | 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: a07ecfa28c63eadc9b4888f83b37e56d9b3ae2c265880ed9a9cb9638742a70bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e0b771e89e04573fc5bc9d5dae58faa5fb6673d5234883cc090213defd75703",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-05T14:55:06Z",
    "title_canon_sha256": "5580173e8130acedea1ef592288909f08adc1f69ecce3a4315011f2ce36c4e2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2017",
    "kind": "arxiv",
    "version": 3
  }
}