Pith Number

pith:YLZRBA32

pith:2015:YLZRBA32KWKBRHOBIN22N5HKQQ

not attested not anchored not stored refs pending

Graph Invertibility and Median Eigenvalues

Bholanath Mandal, Dong Ye, Douglas J. Klein, Yujun Yang

arxiv:1506.04054 v1 · 2015-06-12 · 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{YLZRBA32KWKBRHOBIN22N5HKQQ}

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	2026-05-18T01:51:18.451993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f310837a5594189dc14375a6f4ea841bdba29cae188bec78c394416e793a38

Aliases

arxiv: 1506.04054 · arxiv_version: 1506.04054v1 · doi: 10.48550/arxiv.1506.04054 · pith_short_12: YLZRBA32KWKB · pith_short_16: YLZRBA32KWKBRHOB · pith_short_8: YLZRBA32

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/YLZRBA32KWKBRHOBIN22N5HKQQ \
  | 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: c2f310837a5594189dc14375a6f4ea841bdba29cae188bec78c394416e793a38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bcb21e825033a72a528395f02b63eec103a912b486d18c732f293eaec0216a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-12T15:59:33Z",
    "title_canon_sha256": "4d3cfa022bc54ceb3cbf671fb9e4525abe5f6f37584df72f4af502432da298b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04054",
    "kind": "arxiv",
    "version": 1
  }
}