Pith Number

pith:G5FKAWL6

pith:2012:G5FKAWL6VTSOEPITGIDQEZP5ZH

not attested not anchored not stored refs pending

Computing the Entropy of a Large Matrix

Andr\'e Stefanov, B\"anz Bessire, Thomas P. Wihler

arxiv:1209.2575 v4 · 2012-09-12 · 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{G5FKAWL6VTSOEPITGIDQEZP5ZH}

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	2026-05-18T02:49:54.266242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

374aa0597eace4e23d1332070265fdc9c9a616c5e0de1d0e3fb75757eb4fa304

Aliases

arxiv: 1209.2575 · arxiv_version: 1209.2575v4 · doi: 10.48550/arxiv.1209.2575 · pith_short_12: G5FKAWL6VTSO · pith_short_16: G5FKAWL6VTSOEPIT · pith_short_8: G5FKAWL6

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/G5FKAWL6VTSOEPITGIDQEZP5ZH \
  | 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: 374aa0597eace4e23d1332070265fdc9c9a616c5e0de1d0e3fb75757eb4fa304

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "672b05c31f45ca866a71b99d93aed37cffd7c62d5b59421695b7823fb169a713",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-09-12T11:38:49Z",
    "title_canon_sha256": "0b95c6b7f918328e5a0ec94ebecd94cc6e017143ee397511e8d4e5a78b88182c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2575",
    "kind": "arxiv",
    "version": 4
  }
}