Pith Number

pith:BL3XJ7LE

pith:2019:BL3XJ7LEZQUKL4SNDSCGPU2GRX

not attested not anchored not stored refs pending

The Complementary Information Principle of Quantum Mechanics

Gilad Gour, Kun Fang, Yunlong Xiao

arxiv:1908.07694 v1 · 2019-08-21 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BL3XJ7LEZQUKL4SNDSCGPU2GRX}

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	2026-07-04T23:59:00.455784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0af774fd64cc28a5f24d1c8467d3468de58acf5872f782aea444abc278075a05

Aliases

arxiv: 1908.07694 · arxiv_version: 1908.07694v1 · doi: 10.48550/arxiv.1908.07694 · pith_short_12: BL3XJ7LEZQUK · pith_short_16: BL3XJ7LEZQUKL4SN · pith_short_8: BL3XJ7LE

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/BL3XJ7LEZQUKL4SNDSCGPU2GRX \
  | 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: 0af774fd64cc28a5f24d1c8467d3468de58acf5872f782aea444abc278075a05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "201edeab46ae7bb6c48c4d3742449a90e0fd158d2d80bb58199317b29ea6912a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-08-21T03:40:05Z",
    "title_canon_sha256": "4cab1c377c2392a6f63fd5aed90977b1d7171685df1346d053c91af57b5082a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07694",
    "kind": "arxiv",
    "version": 1
  }
}