Pith Number

pith:PQXN2V5R

pith:2012:PQXN2V5RXXHZRYREZH4DXWSCAU

not attested not anchored not stored refs pending

On semigroups of matrices with nonnegative diagonals

Grega Cigler, Roman Drnov\v{s}ek

arxiv:1209.3882 v1 · 2012-09-18 · 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{PQXN2V5RXXHZRYREZH4DXWSCAU}

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	2026-05-18T03:30:25.644505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c2edd57b1bdcf98e224c9f83bda4205381cd8be12fd3c86f69fc0f8b4e15c1d

Aliases

arxiv: 1209.3882 · arxiv_version: 1209.3882v1 · doi: 10.48550/arxiv.1209.3882 · pith_short_12: PQXN2V5RXXHZ · pith_short_16: PQXN2V5RXXHZRYRE · pith_short_8: PQXN2V5R

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/PQXN2V5RXXHZRYREZH4DXWSCAU \
  | 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: 7c2edd57b1bdcf98e224c9f83bda4205381cd8be12fd3c86f69fc0f8b4e15c1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b80824d740b81e3655cc738470697131dc89076cca42d50724dd7c48804274f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-18T09:05:13Z",
    "title_canon_sha256": "77851b4e637a48c99c1ec6645d1977cd2624b1d97d892d495cd6a894ed070810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3882",
    "kind": "arxiv",
    "version": 1
  }
}