Pith Number

pith:6OCKXAE7

pith:2013:6OCKXAE7HYT5NC6SC4OPRVMZ7O

not attested not anchored not stored refs pending

Frequency estimation based on Hankel matrices and the alternating direction method of multipliers

Fredrik Andersson, Herwig Wendt, Jean-Yves Tourneret, Marcus Carlsson

arxiv:1306.2907 v1 · 2013-06-12 · math.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{6OCKXAE7HYT5NC6SC4OPRVMZ7O}

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	2026-05-18T03:21:09.026804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f384ab809f3e27d68bd2171cf8d599fbb1e878d49490ed369d9ed3809d848229

Aliases

arxiv: 1306.2907 · arxiv_version: 1306.2907v1 · doi: 10.48550/arxiv.1306.2907 · pith_short_12: 6OCKXAE7HYT5 · pith_short_16: 6OCKXAE7HYT5NC6S · pith_short_8: 6OCKXAE7

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/6OCKXAE7HYT5NC6SC4OPRVMZ7O \
  | 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: f384ab809f3e27d68bd2171cf8d599fbb1e878d49490ed369d9ed3809d848229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d264f32000eb02c03f876543f828472d7e8bb7f37bd1831ddd802abeef50eac6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-06-12T17:47:53Z",
    "title_canon_sha256": "73e90b85fbf49cbb6ef1366cde0b6c4b1733dc61f95fc255a61f638e7ee6a973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2907",
    "kind": "arxiv",
    "version": 1
  }
}