Pith Number

pith:2F2YTQHF

pith:2026:2F2YTQHFAPZXMX2KHTVW4F7WPW

not attested not anchored not stored refs pending

Affine Scaling of Jacobi Zeros: Sharp Orderings Beyond Gautschi's Conjectures

F. R. Rafaeli, K. Castillo

arxiv:2608.08258 v1 · 2026-08-08 · 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{2F2YTQHFAPZXMX2KHTVW4F7WPW}

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	2026-08-11T01:22:08.842412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d17589c0e503f3765f4a3ceb6e17f67d8617c0daeaf447f3aca52e15af7c2503

Aliases

arxiv: 2608.08258 · arxiv_version: 2608.08258v1 · doi: 10.48550/arxiv.2608.08258 · pith_short_12: 2F2YTQHFAPZX · pith_short_16: 2F2YTQHFAPZXMX2K · pith_short_8: 2F2YTQHF

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/2F2YTQHFAPZXMX2KHTVW4F7WPW \
  | 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: d17589c0e503f3765f4a3ceb6e17f67d8617c0daeaf447f3aca52e15af7c2503

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ac5c66abc494ad81380c5a02da4fab251ec224f32f9fc2228294438928531b8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-08-08T17:42:27Z",
    "title_canon_sha256": "3a2a38e971508e2575d087c004390c8b297f1aeb5aa31708afe4b45a4511bacf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08258",
    "kind": "arxiv",
    "version": 1
  }
}