Pith Number

pith:IHYNQIZS

pith:2013:IHYNQIZSQHCBCXCFJESXRA6I2C

not attested not anchored not stored refs pending

Strengthened Cauchy-Schwarz and H\"older inequalities

J. M. Aldaz

arxiv:1302.2254 v1 · 2013-02-09 · math.NA · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IHYNQIZSQHCBCXCFJESXRA6I2C}

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	2026-05-18T03:34:01.855401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41f0d8233281c4115c4549257883c8d08c75bfefc6c81beceb953898235f056b

Aliases

arxiv: 1302.2254 · arxiv_version: 1302.2254v1 · doi: 10.48550/arxiv.1302.2254 · pith_short_12: IHYNQIZSQHCB · pith_short_16: IHYNQIZSQHCBCXCF · pith_short_8: IHYNQIZS

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/IHYNQIZSQHCBCXCFJESXRA6I2C \
  | 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: 41f0d8233281c4115c4549257883c8d08c75bfefc6c81beceb953898235f056b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c07588d70c86c637e92c2aa26fa3502e97dbaeed57e1617b040e8d76bf7dd1e4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-02-09T19:15:53Z",
    "title_canon_sha256": "569bd8d26874612809ebd1b21b14fb0a4b0d3fdef0944912788c1ca59070c964"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2254",
    "kind": "arxiv",
    "version": 1
  }
}