Pith Number

pith:ETLMXUM2

pith:2012:ETLMXUM2OIDLHCDBV4EMVUL6CM

not attested not anchored not stored refs pending

Power series with positive coefficients arising from the characteristic polynomials of positive matrices

Helena \v{S}migoc, Raphael Loewy, Thomas J. Laffey

arxiv:1205.1933 v3 · 2012-05-09 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ETLMXUM2OIDLHCDBV4EMVUL6CM}

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	2026-05-18T03:18:18.698175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24d6cbd19a7206b38861af08cad17e1335ff3e5284b656e19f8d01d0309c6b7d

Aliases

arxiv: 1205.1933 · arxiv_version: 1205.1933v3 · doi: 10.48550/arxiv.1205.1933 · pith_short_12: ETLMXUM2OIDL · pith_short_16: ETLMXUM2OIDLHCDB · pith_short_8: ETLMXUM2

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/ETLMXUM2OIDLHCDBV4EMVUL6CM \
  | 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: 24d6cbd19a7206b38861af08cad17e1335ff3e5284b656e19f8d01d0309c6b7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0e49f32a415ce95ab56d32d44c07cda17c8dd13529a4b7f695cef04a33e35d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-05-09T10:40:43Z",
    "title_canon_sha256": "3208ba833d8360f8406288debbcb0dea594130c1b4e67aa89c4b64000daa7b2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1933",
    "kind": "arxiv",
    "version": 3
  }
}