Pith Number

pith:RT624A2O

pith:2015:RT624A2OQDPSXTRD2UR26NSBXO

not attested not anchored not stored refs pending

Shannon and Renyi Entropy of Wavelets

H.M. de Oliveira

arxiv:1502.01871 v2 · 2015-02-06 · cs.IT · math.CA · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RT624A2OQDPSXTRD2UR26NSBXO}

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	2026-05-18T02:19:35.637241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cfdae034e80df2bce23d523af3641bb8091c5ceeb2133c1a8005249217219f1

Aliases

arxiv: 1502.01871 · arxiv_version: 1502.01871v2 · doi: 10.48550/arxiv.1502.01871 · pith_short_12: RT624A2OQDPS · pith_short_16: RT624A2OQDPSXTRD · pith_short_8: RT624A2O

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/RT624A2OQDPSXTRD2UR26NSBXO \
  | 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: 8cfdae034e80df2bce23d523af3641bb8091c5ceeb2133c1a8005249217219f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ef3dbfc3fbd7dad1a435c1e94b074547409cab6588f7f854222fa446726efd3",
    "cross_cats_sorted": [
      "math.CA",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-02-06T12:31:21Z",
    "title_canon_sha256": "c162ec6d7b6a529f9c12d7cd2bd4584a14199b6de405bd557315b3225d7fa6b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01871",
    "kind": "arxiv",
    "version": 2
  }
}