Pith Number

pith:V3Z6MS5S

pith:2009:V3Z6MS5STIVZ6WPHHCD6W4CBZJ

not attested not anchored not stored refs pending

Spectral features and asymptotic properties for alpha-circulants and alpha-Toeplitz sequences: theoretical results and examples

Debora Sesana, Eric Ngondiep, Stefano Serra-Capizzano

arxiv:0906.2104 v1 · 2009-06-11 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3Z6MS5STIVZ6WPHHCD6W4CBZJ}

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	2026-06-03T23:06:27.027851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aef3e64bb29a2b9f59e73887eb7041ca476e1cd2323e450b1adf3815a8a6998e

Aliases

arxiv: 0906.2104 · arxiv_version: 0906.2104v1 · doi: 10.48550/arxiv.0906.2104 · pith_short_12: V3Z6MS5STIVZ · pith_short_16: V3Z6MS5STIVZ6WPH · pith_short_8: V3Z6MS5S

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/V3Z6MS5STIVZ6WPHHCD6W4CBZJ \
  | 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: aef3e64bb29a2b9f59e73887eb7041ca476e1cd2323e450b1adf3815a8a6998e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09d41e7abf496aea6be7e571432a2b6c4bf7abe4a38e940d5bb1a2996d63c338",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-06-11T13:37:53Z",
    "title_canon_sha256": "3c661f9a8704e766a445a3d8ded3f7649030156ccf6f5cab2638a94f4faaf1b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2104",
    "kind": "arxiv",
    "version": 1
  }
}