Pith Number

pith:XOPAIT7L

pith:2015:XOPAIT7L2UZXKH4JSLJRJI5WJG

not attested not anchored not stored refs pending

Diophantine properties of the zeros of (monic) polynomials the coefficients of which are the zeros of Hermite polynomials

Francesco Calogero, Oksana Bihun

arxiv:1507.03749 v1 · 2015-07-14 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOPAIT7L2UZXKH4JSLJRJI5WJG}

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	2026-05-18T01:36:57.430188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb9e044febd533751f8992d314a3b649b94b58669624bf5c6d47dfab52cd2ebd

Aliases

arxiv: 1507.03749 · arxiv_version: 1507.03749v1 · doi: 10.48550/arxiv.1507.03749 · pith_short_12: XOPAIT7L2UZX · pith_short_16: XOPAIT7L2UZXKH4J · pith_short_8: XOPAIT7L

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/XOPAIT7L2UZXKH4JSLJRJI5WJG \
  | 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: bb9e044febd533751f8992d314a3b649b94b58669624bf5c6d47dfab52cd2ebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd0c3bbf75ea72c475eca77c5dff094b404e3a6162072b9cf8a385da5df9c806",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-14T07:50:55Z",
    "title_canon_sha256": "ab458543f28de11715d0034ff60fd1879a892e7df41227d1b70094ea7caa8797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03749",
    "kind": "arxiv",
    "version": 1
  }
}