Pith Number

pith:NLJM4PPS

pith:2016:NLJM4PPSFWIPQ77HZXJFMRNVNA

not attested not anchored not stored refs pending

The Cauchy interlace theorem for symmetrizable matrices

Said Kouachi

arxiv:1603.04151 v1 · 2016-03-14 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NLJM4PPSFWIPQ77HZXJFMRNVNA}

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	2026-05-18T01:19:09.284536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ad2ce3df22d90f87fe7cdd25645b5683ea1d385242b78d73d8c3d8e21f930e8

Aliases

arxiv: 1603.04151 · arxiv_version: 1603.04151v1 · doi: 10.48550/arxiv.1603.04151 · pith_short_12: NLJM4PPSFWIP · pith_short_16: NLJM4PPSFWIPQ77H · pith_short_8: NLJM4PPS

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/NLJM4PPSFWIPQ77HZXJFMRNVNA \
  | 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: 6ad2ce3df22d90f87fe7cdd25645b5683ea1d385242b78d73d8c3d8e21f930e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d933bc0d8894416c4d5189f89f42e87dddd031ea5d8e6ebb91993745893605f",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-14T06:55:21Z",
    "title_canon_sha256": "95e594e7115006cb747d61340e2aa9831def0143091b50421fbfecff2b6284c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04151",
    "kind": "arxiv",
    "version": 1
  }
}