Pith Number

pith:BQ4BO53E

pith:2017:BQ4BO53ELK42R6AOP3ILDZST4S

not attested not anchored not stored refs pending

On the monotonicity of weighted power means of matrices

Jose Franco, Raluca Dumitru

arxiv:1701.07023 v2 · 2017-01-24 · 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{BQ4BO53ELK42R6AOP3ILDZST4S}

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	2026-05-18T00:51:53.076655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c381777645ab9a8f80e7ed0b1e653e4a63b11895c234089745411f589a59f0b

Aliases

arxiv: 1701.07023 · arxiv_version: 1701.07023v2 · doi: 10.48550/arxiv.1701.07023 · pith_short_12: BQ4BO53ELK42 · pith_short_16: BQ4BO53ELK42R6AO · pith_short_8: BQ4BO53E

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/BQ4BO53ELK42R6AOP3ILDZST4S \
  | 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: 0c381777645ab9a8f80e7ed0b1e653e4a63b11895c234089745411f589a59f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa4693ebf2657ef00c3db75985ec47d7f370c0080a4488da25d0bad46a620488",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-01-24T13:57:10Z",
    "title_canon_sha256": "bf4da0985221b296a55f01b2e6de2ad9837f2cf1cc5ede51073def80a8e94f4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07023",
    "kind": "arxiv",
    "version": 2
  }
}