Pith Number

pith:RWVBYWK3

pith:2015:RWVBYWK3QDFAQSBRUTZJOQUICI

not attested not anchored not stored refs pending

Equivalence theorem of uncertainty relations

Cong-Feng Qiao, Jun-Li Li

arxiv:1512.02781 v3 · 2015-12-09 · 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{RWVBYWK3QDFAQSBRUTZJOQUICI}

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	2026-05-18T00:55:25.440523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8daa1c595b80ca084831a4f29742881225b5674e2058e32bece606caa154e976

Aliases

arxiv: 1512.02781 · arxiv_version: 1512.02781v3 · doi: 10.48550/arxiv.1512.02781 · pith_short_12: RWVBYWK3QDFA · pith_short_16: RWVBYWK3QDFAQSBR · pith_short_8: RWVBYWK3

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/RWVBYWK3QDFAQSBRUTZJOQUICI \
  | 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: 8daa1c595b80ca084831a4f29742881225b5674e2058e32bece606caa154e976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f06bb0d4cfb8d2c9393fbf3b8fd963a975f835004ad1f1ff3439eee427f292c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-12-09T08:12:19Z",
    "title_canon_sha256": "2d34cf998902f8388b246369f758712a47e9ad4d7004b7fb0253362474bdc5ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02781",
    "kind": "arxiv",
    "version": 3
  }
}