Pith Number

pith:LEER3US3

pith:2017:LEER3US37Q63GLHGI2YNHU3IR7

not attested not anchored not stored refs pending

On the asymptotic variance of the number of real roots of random polynomial systems

Diego Armentano, Federico Dalmao, Jean-Marc Aza\"is, Jos\'e R. Le\'on

arxiv:1703.08163 v3 · 2017-03-23 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEER3US37Q63GLHGI2YNHU3IR7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:17:19.475132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59091dd25bfc3db32ce646b0d3d3688fc66c0f07757e009cd4c512689bac2f2f

Aliases

arxiv: 1703.08163 · arxiv_version: 1703.08163v3 · doi: 10.48550/arxiv.1703.08163 · pith_short_12: LEER3US37Q63 · pith_short_16: LEER3US37Q63GLHG · pith_short_8: LEER3US3

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/LEER3US37Q63GLHGI2YNHU3IR7 \
  | 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: 59091dd25bfc3db32ce646b0d3d3688fc66c0f07757e009cd4c512689bac2f2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f83c49c465c715b331f3fa31eed9d415e9a7775fe12d64daa224cd45e74142",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-23T17:50:02Z",
    "title_canon_sha256": "6d74b3f3b10e906f0f99a256abae49877d947b0c9a5d5986a74367d8f8cc8ef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08163",
    "kind": "arxiv",
    "version": 3
  }
}