Pith Number

pith:ECU3MJ4R

pith:2020:ECU3MJ4RDK7UAEU2VJGDL72FZV

not attested not anchored not stored refs pending

On estimating the entropy of shallow circuit outputs

Alexandru Gheorghiu, Matty J. Hoban

arxiv:2002.12814 v2 · 2020-02-27 · quant-ph · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECU3MJ4RDK7UAEU2VJGDL72FZV}

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.

Cited by

1 paper in Pith

Fully Quantum Computational Entropies

Receipt and verification

First computed	2026-07-05T08:53:50.985492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20a9b627911abf40129aaa4c35ff45cd7307d3d2e76128cdd6a8a9f6c055195a

Aliases

arxiv: 2002.12814 · arxiv_version: 2002.12814v2 · doi: 10.48550/arxiv.2002.12814 · pith_short_12: ECU3MJ4RDK7U · pith_short_16: ECU3MJ4RDK7UAEU2 · pith_short_8: ECU3MJ4R

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/ECU3MJ4RDK7UAEU2VJGDL72FZV \
  | 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: 20a9b627911abf40129aaa4c35ff45cd7307d3d2e76128cdd6a8a9f6c055195a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33c1b7dfa09a497a2621c94c56b47ac5234f51bb2e3600cc42344c6bb179a1c8",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-02-27T15:32:08Z",
    "title_canon_sha256": "9c442ba69dc5c27b3afae8437c81ea93426289dde5f31dcd92a9c6ecfd5975fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.12814",
    "kind": "arxiv",
    "version": 2
  }
}