Pith Number

pith:XRPBRBFJ

pith:2016:XRPBRBFJB3Q3SSB3MGLSY6R6VG

not attested not anchored not stored refs pending

A Necessary Condition for the Spectrum of Nonnegative Symmetric $ 5 \times 5 $ Matrices

Oren Spector, Raphael Loewy

arxiv:1602.05051 v1 · 2016-02-16 · 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{XRPBRBFJB3Q3SSB3MGLSY6R6VG}

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	2026-05-18T01:20:37.618667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc5e1884a90ee1b9483b61972c7a3ea9a32db4315b1bdad1c9125f7999eb4ec7

Aliases

arxiv: 1602.05051 · arxiv_version: 1602.05051v1 · doi: 10.48550/arxiv.1602.05051 · pith_short_12: XRPBRBFJB3Q3 · pith_short_16: XRPBRBFJB3Q3SSB3 · pith_short_8: XRPBRBFJ

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/XRPBRBFJB3Q3SSB3MGLSY6R6VG \
  | 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: bc5e1884a90ee1b9483b61972c7a3ea9a32db4315b1bdad1c9125f7999eb4ec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b565fc338f9a638c0fbbb2602440eafce1c11b1b519b9a9a6b224335a565866",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-02-16T15:14:05Z",
    "title_canon_sha256": "2c0efbce306dfa0df1239860f8108aa3b665014e931356c352d66dce783364fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05051",
    "kind": "arxiv",
    "version": 1
  }
}