Pith Number

pith:MJSVTRPH

pith:2010:MJSVTRPHGUDGWTP3BFB5IRU2DJ

not attested not anchored not stored refs pending

The critical exponent for continuous conventional powers of doubly nonnegative matrices

Brian Lins, Charles R. Johnson, Olivia Walch

arxiv:1008.3568 v1 · 2010-08-20 · 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{MJSVTRPHGUDGWTP3BFB5IRU2DJ}

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	2026-05-18T04:41:55.613096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

626559c5e735066b4dfb0943d4469a1a54419206cddacc9a9ec16b03aeed6551

Aliases

arxiv: 1008.3568 · arxiv_version: 1008.3568v1 · doi: 10.48550/arxiv.1008.3568 · pith_short_12: MJSVTRPHGUDG · pith_short_16: MJSVTRPHGUDGWTP3 · pith_short_8: MJSVTRPH

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/MJSVTRPHGUDGWTP3BFB5IRU2DJ \
  | 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: 626559c5e735066b4dfb0943d4469a1a54419206cddacc9a9ec16b03aeed6551

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f01098513780756903c3cfca5a5e2079d57a249d053a441e3ddda3f43309e23e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-08-20T20:29:28Z",
    "title_canon_sha256": "f14afa92827da1a95b8d253e7a81925fa28f5157ee829ecbf09a9a44d75b8e46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3568",
    "kind": "arxiv",
    "version": 1
  }
}