Pith Number

pith:NHCAO7OU

pith:2017:NHCAO7OU3L7PGTQ6GWIE2KL2TN

not attested not anchored not stored refs pending

Sturm's theorem on zeros of linear combinations of eigenfunctions

Bernard Helffer (LMJL), Pierre B\'erard (IF)

arxiv:1706.08247 v4 · 2017-06-26 · math.SP · math.CA · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHCAO7OU3L7PGTQ6GWIE2KL2TN}

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.

Cited by

1 paper in Pith

Chebyshev systems and Sturm oscillation theory for discrete polynomials

Receipt and verification

First computed	2026-07-05T03:44:48.233784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69c4077dd4dafef34e1e35904d297a9b444614504014775005557f355bec3a89

Aliases

arxiv: 1706.08247 · arxiv_version: 1706.08247v4 · doi: 10.48550/arxiv.1706.08247 · pith_short_12: NHCAO7OU3L7P · pith_short_16: NHCAO7OU3L7PGTQ6 · pith_short_8: NHCAO7OU

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/NHCAO7OU3L7PGTQ6GWIE2KL2TN \
  | 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: 69c4077dd4dafef34e1e35904d297a9b444614504014775005557f355bec3a89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f986dd4742eda5d4cf7744405f9eda722f75542fa02e36092a18fb6c0fc6e8",
    "cross_cats_sorted": [
      "math.CA",
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-06-26T06:50:25Z",
    "title_canon_sha256": "e0e2f71681b4e42ae4dc88b6ea1e0d7d73a4780a647dab5441341f8a6c013978"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08247",
    "kind": "arxiv",
    "version": 4
  }
}