Pith Number

pith:DKP5HCZO

pith:2016:DKP5HCZOD7XNB56UQ4OGAU6GU7

not attested not anchored not stored refs pending

Spectral asymptotics for Kac-Murdock-Szeg\H{o} matrices

Alain Bourget, Allen Alvarez Loya, Tyler McMillen

arxiv:1610.00084 v1 · 2016-10-01 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKP5HCZOD7XNB56UQ4OGAU6GU7}

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	2026-05-18T01:03:31.926949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a9fd38b2e1feed0f7d4871c6053c6a7ddfa5c1f370bcfc231b1ffa1c1bfb27a

Aliases

arxiv: 1610.00084 · arxiv_version: 1610.00084v1 · doi: 10.48550/arxiv.1610.00084 · pith_short_12: DKP5HCZOD7XN · pith_short_16: DKP5HCZOD7XNB56U · pith_short_8: DKP5HCZO

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/DKP5HCZOD7XNB56UQ4OGAU6GU7 \
  | 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: 1a9fd38b2e1feed0f7d4871c6053c6a7ddfa5c1f370bcfc231b1ffa1c1bfb27a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c4f365f08c2abc8e0c62a9d70bdf870bd56e5e780e5a48fd705c6c712657e8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-10-01T04:12:11Z",
    "title_canon_sha256": "9a3ce59ed72d281a5b2eeb21ac05c88b083fd155db1d1d8a5bb916b63719b985"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00084",
    "kind": "arxiv",
    "version": 1
  }
}