Pith Number

pith:57YSXBJI

pith:2015:57YSXBJI24PD6APNEZ3KJUFK4V

not attested not anchored not stored refs pending

Varentropy Decreases Under the Polar Transform

Erdal Ar{\i}kan

arxiv:1501.05005 v3 · 2015-01-20 · cs.IT · 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{57YSXBJI24PD6APNEZ3KJUFK4V}

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	2026-05-18T01:17:37.687033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eff12b8528d71e3f01ed2676a4d0aae55e7e5aafe89902afc9a06645b4434843

Aliases

arxiv: 1501.05005 · arxiv_version: 1501.05005v3 · doi: 10.48550/arxiv.1501.05005 · pith_short_12: 57YSXBJI24PD · pith_short_16: 57YSXBJI24PD6APN · pith_short_8: 57YSXBJI

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/57YSXBJI24PD6APNEZ3KJUFK4V \
  | 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: eff12b8528d71e3f01ed2676a4d0aae55e7e5aafe89902afc9a06645b4434843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a58f1a9460567f06bcb85de731304fffccaa05c72acf4e662713683ed0e8efb",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-01-20T22:33:24Z",
    "title_canon_sha256": "688a6611cfd72814eedd91d3ecbad261920520c8891b7bc2b861d4b7419bfbe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05005",
    "kind": "arxiv",
    "version": 3
  }
}