Pith Number

pith:TBLTVJZF

pith:2016:TBLTVJZFMN4TG7LEMOZKEXBZMH

not attested not anchored not stored refs pending

Bounds on the joint and generalized spectral radius of Hadamard geometric mean of bounded sets of positive kernel operators

Aljo\v{s}a Peperko

arxiv:1612.01765 v1 · 2016-12-06 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBLTVJZFMN4TG7LEMOZKEXBZMH}

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	2026-05-18T00:53:23.977140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98573aa7256379337d6463b2a25c3961f9f23d7245ae7a99d8e9562be7e6a036

Aliases

arxiv: 1612.01765 · arxiv_version: 1612.01765v1 · doi: 10.48550/arxiv.1612.01765 · pith_short_12: TBLTVJZFMN4T · pith_short_16: TBLTVJZFMN4TG7LE · pith_short_8: TBLTVJZF

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/TBLTVJZFMN4TG7LEMOZKEXBZMH \
  | 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: 98573aa7256379337d6463b2a25c3961f9f23d7245ae7a99d8e9562be7e6a036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd586dce5563a219a2a6522e9f4783641470f4112fd2528665a692c03cc8e178",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-12-06T11:38:20Z",
    "title_canon_sha256": "9643d54552750421ef13cc6a7b29036141ed413fc348f5e28c3fa2b729031d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01765",
    "kind": "arxiv",
    "version": 1
  }
}