Pith Number

pith:4F65AKPD

pith:2014:4F65AKPD3GXBFVWMFWSWA2NXRA

not attested not anchored not stored refs pending

Heisenberg's uncertainty relation: Violation and reformulation

Masanao Ozawa

arxiv:1402.5601 v1 · 2014-02-23 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4F65AKPD3GXBFVWMFWSWA2NXRA}

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	2026-05-18T00:06:44.284031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17dd029e3d9ae12d6cc2da56069b788340ad4a9856a1dd12e3cfaf23b36b399

Aliases

arxiv: 1402.5601 · arxiv_version: 1402.5601v1 · doi: 10.48550/arxiv.1402.5601 · pith_short_12: 4F65AKPD3GXB · pith_short_16: 4F65AKPD3GXBFVWM · pith_short_8: 4F65AKPD

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/4F65AKPD3GXBFVWMFWSWA2NXRA \
  | 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: e17dd029e3d9ae12d6cc2da56069b788340ad4a9856a1dd12e3cfaf23b36b399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ac01698942669760075126ff0f60dbf7440273e416e00971425f8e6b027eccd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-02-23T12:23:10Z",
    "title_canon_sha256": "2d11b299cb64c4648416e334774c14af665e25f1192b2a9ea3268a2657cb7532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5601",
    "kind": "arxiv",
    "version": 1
  }
}