Pith Number

pith:KC5WH3UP

pith:2014:KC5WH3UPVMGOEPXWU7XV7DQC6H

not attested not anchored not stored refs pending

The critical exponent for generalized doubly nonnegative matrices

Charles Johnson, Pietro Paparella, Xuchen Han

arxiv:1407.7059 v3 · 2014-07-25 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KC5WH3UPVMGOEPXWU7XV7DQC6H}

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	2026-05-18T00:39:05.007187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50bb63ee8fab0ce23ef6a7ef5f8e02f1e62bb3f639329b7cbe3758e60429ece2

Aliases

arxiv: 1407.7059 · arxiv_version: 1407.7059v3 · doi: 10.48550/arxiv.1407.7059 · pith_short_12: KC5WH3UPVMGO · pith_short_16: KC5WH3UPVMGOEPXW · pith_short_8: KC5WH3UP

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/KC5WH3UPVMGOEPXWU7XV7DQC6H \
  | 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: 50bb63ee8fab0ce23ef6a7ef5f8e02f1e62bb3f639329b7cbe3758e60429ece2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d061f2fcbd8f4533739cefa9fe1078e4bb42f41bed00b04d88cb82734ad139f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-07-25T21:09:47Z",
    "title_canon_sha256": "d5eb24abdbd3a091d1b3c64a973b3057c7e191735f3e0507c21cded9922fd81d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7059",
    "kind": "arxiv",
    "version": 3
  }
}