Pith Number

pith:LJEJKARW

pith:1993:LJEJKARWMIBY476IMLPMMKK63D

not attested not anchored not stored refs pending

Uncertainty Relation for a Quantum Open System

B. L. Hu, Yuhong Zhang

arxiv:gr-qc/9312034 v1 · 1993-12-23 · gr-qc · 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{LJEJKARWMIBY476IMLPMMKK63D}

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	2026-05-18T01:39:19.807270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a4895023662038e7fc862dec6295ed8c4fcaf23dbe802b3065df05d92de1ad5

Aliases

arxiv: gr-qc/9312034 · arxiv_version: gr-qc/9312034v1 · doi: 10.48550/arxiv.gr-qc/9312034 · pith_short_12: LJEJKARWMIBY · pith_short_16: LJEJKARWMIBY476I · pith_short_8: LJEJKARW

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/LJEJKARWMIBY476IMLPMMKK63D \
  | 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: 5a4895023662038e7fc862dec6295ed8c4fcaf23dbe802b3065df05d92de1ad5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c91637cbe397e408e35a5394f06ada236554b922710af6a10c6254ab45d868e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-12-23T16:33:40Z",
    "title_canon_sha256": "943187fab9c7ed2684ae50ba670dc219a5b0c2182c2f169c2720d680d90f335c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9312034",
    "kind": "arxiv",
    "version": 1
  }
}