Pith Number

pith:7MZZ7GOZ

pith:2019:7MZZ7GOZ4RPB6UQDMKFHLRJNBO

not attested not anchored not stored refs pending

The Complexity Geometry of a Single Qubit

Adam R. Brown, Leonard Susskind

arxiv:1903.12621 v2 · 2019-03-29 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MZZ7GOZ4RPB6UQDMKFHLRJNBO}

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

2 papers in Pith

The Geometry of Quantum Complexity in Open Systems

Nielsen complexity with multiple cost factors

Receipt and verification

First computed	2026-07-05T02:27:53.880654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb339f99d9e45e1f5203628a75c52d0b976abb2a2a67f6dfcc010762dbee23be

Aliases

arxiv: 1903.12621 · arxiv_version: 1903.12621v2 · doi: 10.48550/arxiv.1903.12621 · pith_short_12: 7MZZ7GOZ4RPB · pith_short_16: 7MZZ7GOZ4RPB6UQD · pith_short_8: 7MZZ7GOZ

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/7MZZ7GOZ4RPB6UQDMKFHLRJNBO \
  | 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: fb339f99d9e45e1f5203628a75c52d0b976abb2a2a67f6dfcc010762dbee23be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3551bf5ef928148e13f719a2de1b77fd086eb3f0f38e85e2a453d9b1d29052c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-03-29T17:12:14Z",
    "title_canon_sha256": "0e67086af95f1390d8dc66ec1fd90fbc26a159b1118723a4877f3e49d96a6945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.12621",
    "kind": "arxiv",
    "version": 2
  }
}