Pith Number

pith:QIXCTXPI

pith:2015:QIXCTXPIB7GS2LHKQI5BOKZPII

not attested not anchored not stored refs pending

Norm inequalities related to the matrix geometric mean

Priyanka Grover, Rajendra Bhatia

arxiv:1502.04497 v1 · 2015-02-16 · 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{QIXCTXPIB7GS2LHKQI5BOKZPII}

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	2026-05-18T02:26:59.647760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

822e29dde80fcd2d2cea823a172b2f423c41c0413db629e7f3708f718866b051

Aliases

arxiv: 1502.04497 · arxiv_version: 1502.04497v1 · doi: 10.48550/arxiv.1502.04497 · pith_short_12: QIXCTXPIB7GS · pith_short_16: QIXCTXPIB7GS2LHK · pith_short_8: QIXCTXPI

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/QIXCTXPIB7GS2LHKQI5BOKZPII \
  | 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: 822e29dde80fcd2d2cea823a172b2f423c41c0413db629e7f3708f718866b051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dadda53c4a6da25de62f597f81302f726e380dffe17d5bc5accd28d9e5b614c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-16T11:24:19Z",
    "title_canon_sha256": "b63e6866c83c95b7d7b87e1b485563cba34198c485e631f57e5e3f0f5ad56f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04497",
    "kind": "arxiv",
    "version": 1
  }
}