Pith Number

pith:RW53WDSZ

pith:2013:RW53WDSZP7UIZKSFCSASRGTWC2

not attested not anchored not stored refs pending

Fundamental Inequalities and Identities Involving Mutual and Directed Informations in Closed-Loop Systems

Eduardo I. Silva, Jan {\O}stergaard, Milan S. Derpich

arxiv:1301.6427 v1 · 2013-01-28 · 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{RW53WDSZP7UIZKSFCSASRGTWC2}

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	2026-05-18T03:35:15.381154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dbbbb0e597fe88caa451481289a76169afa49100060cfc72edd0378f9ef989b

Aliases

arxiv: 1301.6427 · arxiv_version: 1301.6427v1 · doi: 10.48550/arxiv.1301.6427 · pith_short_12: RW53WDSZP7UI · pith_short_16: RW53WDSZP7UIZKSF · pith_short_8: RW53WDSZ

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/RW53WDSZP7UIZKSFCSASRGTWC2 \
  | 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: 8dbbbb0e597fe88caa451481289a76169afa49100060cfc72edd0378f9ef989b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6fe73764fc81a35646e0aaccf0ff73ded77a3c504344d86b17bfe859432683a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-28T02:00:32Z",
    "title_canon_sha256": "9452b6d8a5016233a75735ff845d6d154be181f9c229c17f3ea9c4980e4cdb44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6427",
    "kind": "arxiv",
    "version": 1
  }
}