Pith Number

pith:HFCTJXEO

pith:2018:HFCTJXEO7MFYG37WVYP5N6Q4CY

not attested not anchored not stored refs pending

On a class of non-Hermitian matrices with positive definite Schur complements

Carsten Trunk, Francisco Mart\'inez Per\'ia, Juan Ignacio Giribet, Thomas Berger

arxiv:1807.08591 v2 · 2018-07-23 · 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{HFCTJXEO7MFYG37WVYP5N6Q4CY}

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	2026-05-18T00:04:12.695164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

394534dc8efb0b836ff6ae1fd6fa1c1634c880a2ee544a52931fa38bb91cbbfe

Aliases

arxiv: 1807.08591 · arxiv_version: 1807.08591v2 · doi: 10.48550/arxiv.1807.08591 · pith_short_12: HFCTJXEO7MFY · pith_short_16: HFCTJXEO7MFYG37W · pith_short_8: HFCTJXEO

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/HFCTJXEO7MFYG37WVYP5N6Q4CY \
  | 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: 394534dc8efb0b836ff6ae1fd6fa1c1634c880a2ee544a52931fa38bb91cbbfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1ede3084ef76e7c8d72760eb2ce13439e5bb13bd276372e2e19f23b4ea98d8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-23T13:17:25Z",
    "title_canon_sha256": "575e7ca4cd45398c8d4807597b7744b0b88c35bd3bb4391fabcb7d7b05fda2d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08591",
    "kind": "arxiv",
    "version": 2
  }
}