pith. the verified trust layer for science. sign in
Pith Number

pith:QJGPDSTJ

pith:2011:QJGPDSTJURGPUJU6H2OXGHMLMU
not attested not anchored not stored refs pending

Collision entropy and optimal uncertainty

A. Plastino, G. M. Bosyk, M. Portesi

arxiv:1112.5903 v1 · 2011-12-27 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QJGPDSTJURGPUJU6H2OXGHMLMU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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 2026-05-18T04:03:44.945847Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

824cf1ca69a44cfa269e3e9d731d8b6514832c41b6354c51fb141876b4adac15

Aliases

arxiv: 1112.5903 · arxiv_version: 1112.5903v1 · doi: 10.48550/arxiv.1112.5903 · pith_short_12: QJGPDSTJURGP · pith_short_16: QJGPDSTJURGPUJU6 · pith_short_8: QJGPDSTJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QJGPDSTJURGPUJU6H2OXGHMLMU \
  | 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: 824cf1ca69a44cfa269e3e9d731d8b6514832c41b6354c51fb141876b4adac15
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "65a7b7bf6d4242982cf72a42f4c279354edc83dd70a850b5a2c0a40548d7d6f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-12-27T00:10:35Z",
    "title_canon_sha256": "e54dcdcf9af8219c4cfa95711d1c798f4e6d35d0a0b1336340fd862cff264ad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5903",
    "kind": "arxiv",
    "version": 1
  }
}