Pith Number

pith:KNPAXBXO

pith:2017:KNPAXBXOIAGFI3DXZV3LATURAQ

not attested not anchored not stored refs pending

On the real zeros of random trigonometric polynomials with dependent coefficients

Federico Dalmao, Guillaume Poly, J\"urgen Angst

arxiv:1706.01654 v1 · 2017-06-06 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNPAXBXOIAGFI3DXZV3LATURAQ}

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	2026-05-18T00:42:56.359310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

535e0b86ee400c546c77cd76b04e91042455accc40d76c982ce132eead55ef4e

Aliases

arxiv: 1706.01654 · arxiv_version: 1706.01654v1 · doi: 10.48550/arxiv.1706.01654 · pith_short_12: KNPAXBXOIAGF · pith_short_16: KNPAXBXOIAGFI3DX · pith_short_8: KNPAXBXO

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/KNPAXBXOIAGFI3DXZV3LATURAQ \
  | 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: 535e0b86ee400c546c77cd76b04e91042455accc40d76c982ce132eead55ef4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80682da1b4dd251e7d2d7445a32a002a928cbaf3f51df06a51c986c7c3a81529",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-06T08:33:08Z",
    "title_canon_sha256": "0338c28fd2aee22c3192e0eb0567bad615dd9ccb21896a3e97188a8577aea551"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01654",
    "kind": "arxiv",
    "version": 1
  }
}