Pith Number

pith:OFYJU4AS

pith:2016:OFYJU4ASZPRBJO2FC62DW7VHKM

not attested not anchored not stored refs pending

Spectrum of a class of matrices and its applications

Jinxi Li, Lihua You, Liyong Ren, Man Yang

arxiv:1612.00648 v1 · 2016-12-02 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFYJU4ASZPRBJO2FC62DW7VHKM}

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	2026-05-18T00:55:59.398421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71709a7012cbe214bb4517b43b7ea7531140004b2bac841a4e11cece0bf80b83

Aliases

arxiv: 1612.00648 · arxiv_version: 1612.00648v1 · doi: 10.48550/arxiv.1612.00648 · pith_short_12: OFYJU4ASZPRB · pith_short_16: OFYJU4ASZPRBJO2F · pith_short_8: OFYJU4AS

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/OFYJU4ASZPRBJO2FC62DW7VHKM \
  | 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: 71709a7012cbe214bb4517b43b7ea7531140004b2bac841a4e11cece0bf80b83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "373e1945e434f6d9becfcca50286746574b93ec9316201f7b8edb0429ebf3c16",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-02T12:06:24Z",
    "title_canon_sha256": "3db282a8c55dbeaa52881ae2077d3f49730b4d4c99cc1bca1434aae6b17a214a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00648",
    "kind": "arxiv",
    "version": 1
  }
}