Pith Number

pith:ALGGIJNY

pith:2025:ALGGIJNYTT4S6RNBSGXOPZYMIL

not attested not anchored not stored refs pending

Zeros of linear combinations of Laguerre polynomials

Antonio J. Dur\'an

arxiv:2507.22425 v1 · 2025-07-30 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALGGIJNYTT4S6RNBSGXOPZYMIL}

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	2026-07-05T11:45:41.779477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02cc6425b89cf92f45a191aee7e70c42e675281bfd63fe085b2e1119f8fe12bb

Aliases

arxiv: 2507.22425 · arxiv_version: 2507.22425v1 · doi: 10.48550/arxiv.2507.22425 · pith_short_12: ALGGIJNYTT4S · pith_short_16: ALGGIJNYTT4S6RNB · pith_short_8: ALGGIJNY

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/ALGGIJNYTT4S6RNBSGXOPZYMIL \
  | 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: 02cc6425b89cf92f45a191aee7e70c42e675281bfd63fe085b2e1119f8fe12bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e29d9ba32f1c053a7499c050d466d3d7b5e4656287af688e0f83b739b59dbba",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-07-30T07:06:41Z",
    "title_canon_sha256": "0c38a838f53fb1d18148416751b43708aa187b3056c69466a5845357e2d93051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22425",
    "kind": "arxiv",
    "version": 1
  }
}