Pith Number

pith:P27VGFGH

pith:2026:P27VGFGHJIWWEN32JXOZWIVIU7

not attested not anchored not stored refs pending

Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms

Domingos S. P. Salazar

arxiv:2607.02778 v1 · 2026-07-02 · 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{P27VGFGHJIWWEN32JXOZWIVIU7}

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	2026-07-07T00:16:16.893708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ebf5314c74a2d62377a4ddd9b22a8a7f5636af805349e0cf740d038301682aa

Aliases

arxiv: 2607.02778 · arxiv_version: 2607.02778v1 · doi: 10.48550/arxiv.2607.02778 · pith_short_12: P27VGFGHJIWW · pith_short_16: P27VGFGHJIWWEN32 · pith_short_8: P27VGFGH

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/P27VGFGHJIWWEN32JXOZWIVIU7 \
  | 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: 7ebf5314c74a2d62377a4ddd9b22a8a7f5636af805349e0cf740d038301682aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02971aed2148f678a6f232ad95fad99fbfe17512841f6414e834f9987ee9b398",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-02T21:21:59Z",
    "title_canon_sha256": "10b7e3622c89300179d33e485936302e93070ff66ffa89ce0bed21fa881cc497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02778",
    "kind": "arxiv",
    "version": 1
  }
}